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 2021 · math.NTShow all

10 papers · 2 filters

math.NT2021

Zeta functions of quadratic Artin-Schreier curves in characteristic two

Régis Blache, Timothé Pierre

The aim of this paper is twofold: on one hand we study the invariants of traces of quadratic forms over a finite field of characteristic two. On the other hand, we give results abo…

math.NT2021

On equivariant class formulas for t-modules

Tiphaine Beaumont

We obtain an equivariant class formula for z-deformation of t-modules. Under mild conditions, it allows us to get an equivariant class formula for t-modules.

math.NT2021★ 5 cited

Translated sums of primitive sets

Jared Duker Lichtman

The Erdős primitive set conjecture states that the sum $f (A) = \sum_{a \in A} \frac{1}{a l o g a}$ , ranging over any primitive set $A$ of positive integers, is maximized by the set of…

math.NT2021★ 1 cited

Is the Syracuse falling time bounded by 12?

Shalom Eliahou, Jean Fromentin, Rénald Simonetto

Let $T : N \to N$ denote the $3 x + 1$ function, where $T (n) = n /2$ if $n$ is even, $T (n) = (3 n + 1) /2$ if $n$ is odd. As an accelerated version of $T$ , we define a j…

math.NT2021★ 4 cited

A Pila--Wilkie theorem for Hensel minimal curves

Victoria Cantoral-Farfán, Kien Huu Nguyen, Mathias Stout +1

Recently, a new axiomatic framework for tameness in henselian valued fields was developed by Cluckers, Halupczok, Rideau-Kikuchi and Vermeulen and termed Hensel minimality. In this…

math.NT2021★ 6 cited

Lemke Oliver and Soundararajan bias for consecutive sums of two squares

Chantal David, Lucile Devin, Jungbae Nam +1

In a surprising recent work, Lemke Oliver and Soundararajan noticed how experimental data exhibits erratic distributions for consecutive pairs of primes in arithmetic progressions,…