English

Lehmer's Conjecture on the Non-vanishing of Ramanujan's Tau Function

Number Theory 2016-06-21 v4

Abstract

In this paper we attempt to prove Lehmer's conjecture on Ramanujan's tau function, namely tau(n) is never zero, for each n larger than zero by investigating the additive group structure attached to tau(n) with the aid of unique factorization theorem.

Keywords

Cite

@article{arxiv.1406.3607,
  title  = {Lehmer's Conjecture on the Non-vanishing of Ramanujan's Tau Function},
  author = {Will Y. Lee},
  journal= {arXiv preprint arXiv:1406.3607},
  year   = {2016}
}

Comments

I withdraw the paper as there is error in the proof of Lemma 2 and Lemma 4