Elementary Proof of Lehmer's Conjecture on Non-vanishing of Tau Function
Number Theory
2016-06-20 v2
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.
Keywords
Cite
@article{arxiv.1506.02098,
title = {Elementary Proof of Lehmer's Conjecture on Non-vanishing of Tau Function},
author = {Will Y. Lee},
journal= {arXiv preprint arXiv:1506.02098},
year = {2016}
}
Comments
The proof for Lemma 2 and Lemma 4 turned out to be false