Laboratoire de Mathématiques Blaise Pascal

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19932026

most citedInferring population history with DIYABC: a user-friendly approach to Approximate Bayesian Computation

688 citations

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Showing 2023 · math.NTShow all

11 papers · 2 filters

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

Computing the Cuspidal Subgroup of the Modular Jacobian $J_{H} (p)$

Elvira Lupoian

For a fixed prime $p$ congruent to $1$ modulo $4$ we may define the modular curve $X_{H} (p)$ associated to the subgroup of non-zero squares modulo $p$ . This curve has…

math.NT2023

Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$ -invariants

Francesco Campagna, Gabriel Andreas Dill

We characterise the integral affine plane curves over a finite field $k$ with the property that all but finitely many of their $k$ -points have coordinates that are $j$ -i…

math.NT2023

On Darmon's program for the Generalized Fermat equation, II

Nicolas Billerey, Imin Chen, Luis Dielefait +1

We obtain additional Diophantine applications of the methods surrounding Darmon's program for the generalized Fermat equation developed in the first part of this series of papers.…

math.NT2023

On a Conjecture of Gezmis and Pellarin

Khac Nhuan Le, Kien Huu Nguyen

In 2022, Gezmis and Pellarin introduced and studied the concept of trivial multiple zeta values, along with a map from the vector space spanned by these values to the vector space…

math.NT2023

$L_{q}$ norms and Mahler measure of Fekete polynomials

Oleksiy Klurman, Youness Lamzouri, Marc Munsch

We show that the distribution of the values of Fekete polynomials $F_{p}$ on the unit circle is governed, as $p \to \infty$ , by an explicit limiting (non-Gaussian) random point process…

Reversible primes

Computing the Cuspidal Subgroup of the Modular Jacobian JH​(p)

Algebraic relations over finite fields that preserve the endomorphism rings of CM j-invariants

On Darmon's program for the Generalized Fermat equation, II

On a Conjecture of Gezmis and Pellarin

Lq​ norms and Mahler measure of Fekete polynomials

Computing the Cuspidal Subgroup of the Modular Jacobian $J_{H} (p)$

Algebraic relations over finite fields that preserve the endomorphism rings of CM $j$ -invariants

$L_{q}$ norms and Mahler measure of Fekete polynomials