A. LeClair

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19912023

most citedBoundary energy and boundary states in integrable quantum field theories

208 citations · 1.3k across the 82 of their papers we have counts for

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3 papers · 1 filter

math.NT2015★ 6 cited

Some Riemann Hypotheses from Random Walks over Primes

Guilherme França, André LeClair

The aim of this article is to investigate how various Riemann Hypotheses would follow only from properties of the prime numbers. To this end, we consider two classes of $L$ -functio…

math.NT2015

An asymptotic upper bound on prime gaps

André LeClair

The Cramér-Granville conjecture is an upper bound on prime gaps, $g_n = p_{n+1} - p_n < \cCramer \, \log^2 p_n$ for some constant $\cCramer \geq 1$. Using a formula of Selberg, we…

math.NT2015★ 16 cited

Transcendental equations satisfied by the individual zeros of Riemann $ζ$ , Dirichlet and modular $L$ -functions

Guilherme França, André LeClair

We consider the non-trivial zeros of the Riemann $ζ$ -function and two classes of $L$ -functions; Dirichlet $L$ -functions and those based on level one modular forms. We show that the…

Some Riemann Hypotheses from Random Walks over Primes

An asymptotic upper bound on prime gaps

Transcendental equations satisfied by the individual zeros of Riemann ζ, Dirichlet and modular L-functions

Transcendental equations satisfied by the individual zeros of Riemann $ζ$ , Dirichlet and modular $L$ -functions