ARCH COMMUNICATIONS GROUP INC /DE/
SC 13G, 1999-08-24
RADIOTELEPHONE COMMUNICATIONS
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                       SECURITIES AND EXCHANGE COMMISSION
                             Washington, D.C. 20549


                                  SCHEDULE 13G


                    Under the Securities Exchange Act of 1934
                                (Amendment No. )*







                         Arch Communications Group, Inc.
- --------------------------------------------------------------------------------
                                (Name of Issuer)



                          COMMON STOCK ($.01 par value)
- --------------------------------------------------------------------------------
                         (Title of Class of Securities)



                                    039381504
- --------------------------------------------------------------------------------
                                 (CUSIP Number)


Check the appropriate box to designate the rule pursuant to which this Schedule
is filed:

         [ ]   Rule 13d-1(b)

         [X]   Rule 13d-1(c)

         [ ]   Rule 13d-1(d)






* The remainder of this cover page shall be filled out for a reporting person's
initial filing on this form with respect to the subject class of securities, and
for any subsequent amendment containing information which would alter the
disclosures provided in a prior cover page.

The information required in the remainder of this cover page shall not be deemed
to be "filed" for the purpose of Section 18 of the Securities Exchange Act of
1934 ("Act") or otherwise subject to the liabilities of that section of the Act
but shall be subject to all other provisions of the Act (however, see the
Notes).


                                     Page 1
<PAGE>


CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              Tudor Investment Corporation
              22-2514825
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization                    Delaware
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                  3,963,729
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power             3,963,729
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                 3,963,729
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              8.2%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  CO
- --------------------------------------------------------------------------------



                                     PAGE 2
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              Paul Tudor Jones, II
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization                         USA
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                  4,207,075
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power             4,207,075
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                 4,207,075
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              8.8%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  IN
- --------------------------------------------------------------------------------



                                     PAGE 3
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              Tudor BVI Futures, Ltd.
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization      British Virgin Islands
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                  1,058,816
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power             1,058,816
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                 1,058,816
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              2.2%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  CO
- --------------------------------------------------------------------------------



                                     PAGE 4
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              Tudor Proprietary Trading, L.L.C.
              13-3720063
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization                    Delaware
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                    243,346
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power               243,346
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                   243,346
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              0.5%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  OO
- --------------------------------------------------------------------------------



                                     PAGE 5
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              The Raptor Global Fund L.P.
              13-3735415
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization                    Delaware
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                    496,013
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power               496,013
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                   496,013
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              1.0%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  PN
- --------------------------------------------------------------------------------



                                     PAGE 6
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              The Raptor Global Fund Ltd.
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization              Cayman Islands
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                  2,176,353
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power             2,176,353
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                 2,176,353
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              4.5%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  CO
- --------------------------------------------------------------------------------



                                     PAGE 7
<PAGE>

CUSIP No. 039381504
- --------------------------------------------------------------------------------
    1)    Names of Reporting Person

          S.S. or I.R.S. Identification No. of Above Person

              The Upper Mill Capital Appreciation Fund Ltd.
- --------------------------------------------------------------------------------
    2)    Check the Appropriate Box if a Member of a Group (See Instructions)
          (a)

          (b)     X
- --------------------------------------------------------------------------------
    3)    SEC Use Only
- --------------------------------------------------------------------------------
    4)    Citizenship or Place of Organization              Cayman Islands
- --------------------------------------------------------------------------------
                        (5) Sole Voting Power                            0
Number of Shares        --------------------------------------------------------
Beneficially            (6) Shared Voting Power                    232,547
Owned by Each           --------------------------------------------------------
Reporting Person        (7) Sole Dispositive Power                       0
With                    --------------------------------------------------------
                        (8) Shared Dispositive Power               232,547
- --------------------------------------------------------------------------------
    9)    Aggregate Amount Benefically Owned by Each Reporting Person
                                                                   232,547
- --------------------------------------------------------------------------------
   10)    Check if the Aggregate Amount in Row (9) Excludes Certain Shares
          (See Instructions)

- --------------------------------------------------------------------------------
   11)    Percent of Class Represented by Amount in Row 9              0.5%
- --------------------------------------------------------------------------------
   12)    Type of Reporting Person (See Instructions)                  CO
- --------------------------------------------------------------------------------



                                     PAGE 8
<PAGE>


Item 1(a).    Name of Issuer:

              Arch Communications Group, Inc.

Item 1(b).    Address of Issuer's Principal Executive Offices:

              1800 West Park Drive
              Suite 250
              Westborough, MA 01581

Item 2(a).    Name of Person Filing:

              Tudor Investment Corporation ("TIC")
              Paul Tudor Jones, II
              Tudor BVI Futures, Ltd. ("Tudor BVI")
              Tudor Proprietary Trading, L.L.C. ("TPT")
              The Raptor Global Fund L.P. ("Raptor L.P.")
              The Raptor Global Fund Ltd. ("Raptor Ltd.")
              The Upper Mill Capital Appreciation Fund Ltd. ("Upper Mill")

Item 2(b).    Address of Principal Business Office or, if none, Residence:

              The principal business office of each of TIC, TPT, and Raptor L.P.
              is:

                       600 Steamboat Road
                       Greenwich, CT 06830

              The principal business office of Mr. Jones is:

                       c/o Tudor Investment Corporation
                       600 Steamboat Road
                       Greenwich, CT 06830

              The principal business office of each of Tudor BVI, Raptor Ltd.
              and Upper Mill is:

                       c/o CITCO
                       Kaya Flamboyan 9
                       Curacao, Netherland Antilles

Item 2(c).    Citizenship:

              TIC is a Delaware corporation
              Tudor BVI is a company organized under the laws of the British
              Virgin Islands
              Mr. Jones is a citizen of the United States
              Raptor L.P. is a Delaware limited partnership
              TPT is a Delaware limited liability company
              Raptor Ltd. and Upper Mill are companies organized under the laws
              of the Cayman Islands

Item 2(d).    Title of Class of Securities:

              Common Stock

Item 2(e).    CUSIP Number:

              039381504


                                     Page 9
<PAGE>

Item 3.       If this statement is filed pursuant to Rule 13d-1(b), or
              13d-2(b), check whether the person filing is a:

              (a) [ ]   Broker or Dealer registered under section 15 of the Act

              (b) [ ]   Bank as defined in section 3(a)(6) of the Act

              (c) [ ]   Insurance Company as defined in section 3(a)(19) of the
                        Act

              (d) [ ]   Investment Company registered under section 8 of the
                        Investment Company Act

              (e) [ ]   Investment Adviser registered under section 203 of the
                        Investment Advisers Act of 1940

              (f) [ ]   Employment Benefit Plan, Pension Fund which is subject
                        to the provisions of the Employee Retirement Income
                        Security Act of 1974 or endowment fund; see section
                        240.13d-1(b)(1)(ii)(F)

              (g) [ ]   Parent Holding Company, in accordance with section
                        240.13d-1(b)(1)(ii)(G) (Note: See Item 7)

              (h) [ ]   Group, in accordance with section 240.13d-1(b)(1)(ii)(H)

Item 4.       Ownership (As of August 20, 1999).

              (a) Amount Beneficially Owned: See Item 9 of cover pages

              (b) Percent of Class: See Item 11 of cover pages

              (c) Number of shares as to which such person has:

                  (i)   sole power to vote or to direct the vote
                              See Item 5 of cover pages

                  (ii)  shared power to vote or to direct the vote
                              See Item 6 of cover pagese

                  (iii) sole power to dispose or to direct the disposition of
                              See Item 7 of cover pages

                  (iv)  shared power to dispose or to direct the disposition of
                              See Item 8 of cover pages

                  The shares (including shares issuable upon the exercise of
              warrants) of Common Stock reported herein as beneficially owned
              are owned directly by Tudor BVI (1,025,399 shares and warrants to
              purchase 33,417 shares), TPT (235,165 shares and warrants to
              purchase 8,181 shares), Raptor L.P. (479,132 shares and warrants
              to purchase 16,881), Raptor Ltd. (2,116,837 shares and warrants to
              purchase 59,516) and Upper Mill (224,366 shares and warrants to
              purchase 8,181). Because TIC is the sole general partner of Raptor
              L.P. and provides investment advisory services to Raptor Ltd.,
              Raptor L.P., Tudor BVI and Upper Mill, TIC may be deemed to
              beneficially own the shares of Common Stock owned by each of such
              Reporting Persons. TIC expressly disclaims such beneficial
              ownership. In addition, because Mr. Jones is the controlling
              shareholder of TIC and the indirect controlling equity holder of
              TPT, Mr. Jones may be deemed to beneficially own the shares of
              Common Stock deemed beneficially owned by TIC and TPT. Mr. Jones
              expressly disclaims such beneficial ownership.

Item 5.       Ownership of Five Percent or Less of a Class.

                  Not applicable

Item 6.       Ownership of More than Five Percent on Behalf of Another Person.

                  Not applicable

Item 7.       Identification and Classification of the Subsidiary Which Acquired
              the Security Being Reported on By the Parent Holding Company.

                  Not applicable


                                     Page 10
<PAGE>

Item 8.       Identification and Classification of Members of the Group.

                  See cover pages

Item 9.       Notice of Dissolution of Group.

                  Not applicable

Item 10.      Certification.

         By signing below I certify that, to the best of my knowledge and
belief, the securities referred to above were not acquired and are not held for
the purpose of or with the effect of changing or influencing the control of the
issuer of the securities and were not acquired and are not held in connection
with or as a participant in any transaction having that purpose or effect.

         After reasonable inquiry and to the best of my knowledge and belief, I
certify that the information set forth in this statement is true, complete and
correct.


                                   Dated:    August 24, 1999

                                   TUDOR INVESTMENT CORPORATION


                                   By:      /s/ Andrew S. Paul
                                      ------------------------------------------
                                      Andrew S. Paul
                                      Managing Director and General Counsel


                                        /s/ Paul Tudor Jones, II
                                   ---------------------------------------------
                                        Paul Tudor Jones, II


                                   TUDOR BVI FUTURES, LTD.

                                   By:  Tudor Investment Corporation,
                                        Trading Advisor


                                        By:     /s/ Andrew S. Paul
                                           -------------------------------------
                                           Andrew S. Paul
                                           Managing Director and General Counsel


                                    Page 11
<PAGE>



                                   TUDOR PROPRIETARY TRADING, L.L.C.


                                   By:      /s/ Andrew S. Paul
                                      ------------------------------------------
                                      Andrew S. Paul
                                      Managing Director and General Counsel


                                   THE RAPTOR GLOBAL FUND L.P.

                                   By:  Tudor Investment Corporation,
                                        General Partner


                                        By:     /s/ Andrew S. Paul
                                           -------------------------------------
                                           Andrew S. Paul
                                           Managing Director and General Counsel


                                   THE RAPTOR GLOBAL FUND LTD.

                                   By:  Tudor Investment Corporation,
                                        Investment Advisor


                                        By:     /s/ Andrew S. Paul
                                           -------------------------------------
                                           Andrew S. Paul
                                           Managing Director and General Counsel


                                   THE UPPER MILL CAPITAL APPRECIATION FUND LTD.

                                   By:  Tudor Investment Corporation,
                                        Sub-Investment Manager


                                        By:         /s/ Andrew S. Paul
                                           -------------------------------------
                                           Andrew S. Paul
                                           Managing Director and General Counsel


                                    Page 12



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