Institut Élie Cartan de Lorraine

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19982026

most citedComputational methods for the dynamics of the nonlinear Schrodinger/Gross-Pitaevskii equations

398 citations

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Showing 2023 · math.NTShow all

5 papers · 2 filters

math.NT2023

On Finite Pseudorandom Binary Sequences: Functions from a Hardy field

Manfred G. Madritsch, Joël Rivat, Robert F. Tichy

We provide a construction of binary pseudorandom sequences based on Hardy fields $H$ as considered by Boshernitzan. In particular we give upper bounds for the well distri…

math.NT2023

Zeros of linear combinations of Dirichlet $L$ -functions on the critical line

Jérémy Dousselin

Let $F$ be a linear combination of $N \geq 1$ Dirichlet $L$ -functions attached to even (or odd) primitive characters with the same modulus. Selberg proved that a positive proportion…

math.NT2023★ 3 cited

Reversible primes

Cécile Dartyge, Bruno Martin, Joël Rivat +2

For an $n$ -bit positive integer $a$ written in binary as $a = j = 0 \sum n - 1 ε_{j} (a) 2^{j}$ where, $ε_{j} (a) \in {0, 1}$ , $j \in {0, \dots, n - 1}$ , $\vare…

math.NT2023

Sums of proper divisors with missing digits

Kübra Benli, Giulia Cesana, Cécile Dartyge +2

Let $s (n)$ denote the sum of proper divisors of an integer $n$ . In 1992, Erdős, Granville, Pomerance, and Spiro (EGPS) conjectured that if $A$ is a set of integers with a…

math.NT2023

On abelian cubic fields with large class number

Jérémy Dousselin

We investigate the large values of class numbers of cubic fields, showing that one can find arbitrary long sequences of "close" abelian cubic number fields with class numbers as la…

On Finite Pseudorandom Binary Sequences: Functions from a Hardy field

Zeros of linear combinations of Dirichlet L-functions on the critical line

Reversible primes

Sums of proper divisors with missing digits

On abelian cubic fields with large class number

Zeros of linear combinations of Dirichlet $L$ -functions on the critical line