Lehmer's conjecture

Known as: Elliptic Lehmer conjecture, Lehmer, Lehmer conjecture

Lehmer's conjecture, also known as the Lehmer's Mahler measure problem, is a problem in number theory raised by Derrick Henry Lehmer. The conjecture…

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.

2018

We give a reformulation of the Lehmer conjecture about algebraic integers in terms of a simple counting problem modulo p.

2016

We state and prove an equivariant version of Lehmer's conjecture on heights, generalizing papers by Zagier and Dresden which are…

2015

In this paper we prove Lehmer's conjecture on Ramanujan's tau function, namely tau(n) not equal to zero for n >= 1 by…

2014

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…

2013

2012

De nombreux auteurs ont prouve des versions explicites de la conjecture de Lehmer dans le cas particulier de polynomes dont les…

2011

In this paper we introduce the concept of a quota complex and study how the topology of these quota complexes changes as the…

2010

A number of authors have proven explicit versions of Lehmer's conjecture for polynomials whose coefficients are all congruent to…

2010

Gerald Höhn defined the concept of conformal designs, which is an analogue of the concept of combinatorial designs and spherical…

2008

These notes contain results concerning uniform exponential growth which were obtained in collaborations with E. Breuillard and A…