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arXiv · 1506.02098

Elementary Proof of Lehmer's Conjecture on Non-vanishing of Tau Function

Will Y. Lee
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Abstract

In this paper we prove Lehmer's conjecture on Ramanujan's tau function, namely tau(n) not equal to zero for n >= 1 by investigating the additive group structure attached to tau(n) with the aid of the pigeonhole principle and unique factorization theorem.

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Will Y. Lee. 2015-06-06. Elementary Proof of Lehmer's Conjecture on Non-vanishing of Tau Function. https://arxiv.org/abs/1506.02098

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