Gao’s conjecture on zerosum sequences |
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| Authors: | B Sury R Thangadurai |
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| Institution: | (1) Indian Statistical Institute, 8th Mile Mysore Road, 560 059 Bangalore, India;(2) Indian Statistical Institute, 203, B.T. Road, 700 108 Kolkata, India |
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| 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. |
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| Keywords: | Zero-sum sequences Chevally-Warning Theorm Gao’ s conjecture |
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