• Gao’s conjecture on zerosum sequences

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    • 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

  • Proceedings – Mathematical Sciences | News

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