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arXiv · 1409.2843

Some Results on Zero Sum Sequences in $Z_p^3$

Satwik Mukherjee
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Abstract

Kemnitz Conjecture [9] states that if we take a sequence of elements in $Z_{p}^{2}$ of length $4p-3$, $p$ is a prime number, then it has a subsequence of length $p$, whose sum is $0$ modulo $p$. It is known that in $Z_{p}^{3}$ to get a similar result we have to take a sequence of length atleast $9p-8$ . In this paper we will show that if we add a condition on the chosen sequence, then we can get a good upper and a lower bound for which similar results hold.

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Satwik Mukherjee. 2014-09-09. Some Results on Zero Sum Sequences in $Z_p^3$. https://arxiv.org/abs/1409.2843

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