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    • Gao’s conjecture on zerosum sequences

      B Sury R Thangadurai

      Volume 112 Issue 3 August 2002 pp 399-414

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pmsc/112/03/0399-0414

    • Keywords

       

      Zero-sum sequences; Chevally-Warning Theorm; Gao’s conjecture

    • Abstract

       

      In this paper, we shall address three closely-related conjectures due to van Emde Boas, W D Gao and Kemnitz on zero-sum problems on Zp ⊗ Zp. We prove a number of results including a proof of the conjecture of Gao for the primep = 7 (Theorem 3.1). The conjecture of Kemnitz is also proved (Propositions 4.6, 4.9, 4.10) for many classes of sequences.

    • Author Affiliations

       

      B Sury1 R Thangadurai1 2

      1. Indian Statistical Institute, 8th Mile Mysore Road, Bangalore - 560 059, India
      2. Indian Statistical Institute, 203, B.T. Road, Kolkata - 700 108, India

    • Dates

       
      Published
      August 2002
      Manuscript received
      28 January 2002
      Manuscript revised
      9 May 2002

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