Institut de Mathématiques de Marseille

output

19972026

most citedNetworks beyond pairwise interactions: structure and dynamics

1.6k citations

researchers with a paper here

Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.

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Showing 2020 · math.NTShow all

11 papers · 2 filters

math.NT2020★ 1 cited

Orienting supersingular isogeny graphs

Leonardo Colò, David Kohel

We introduce a category of $O$ -orientedsupersingularellipticcurves and derive properties of the associated oriented and nonoriented $ℓ$ -isogeny supersingular isogeny g…

math.NT2020★ 5 cited

Twisted $μ_{4}$ -normal form for elliptic curves

David Kohel

We introduce the twisted $μ_{4}$ -normal form for elliptic curves, deriving in particular addition algorithms with complexity $9 M + 2 S$ and doubling algor…

math.NT2020★ 1 cited

Additive double character sums over some structured sets and applications

Cathy Swaenepoel, Arne Winterhof

We study additive double character sums over two subsets of a finite field. We show that if there is a suitable rational self-map of small degree of a set $D$ , then this set contai…

math.NT2020★ 2 cited

Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices

Raphaël Beuzart-Plessis

This paper contains two results concerning the spectral decomposition, in a broad sense, of the space of nondegenerate Hermitian matrices over a local field of characteristic zero.…

math.NT2020

The first moment of primes in arithmetic progressions: Beyond the Siegel-Walfisz range

Sary Drappeau, Daniel Fiorilli

We investigate the first moment of primes in progressions $q \leq x / N (q, a) = 1 \sum (ψ (x; q, a) - \frac{x}{φ ( q )})$ as $x, N \to \infty$ . We show unconditio…

math.NT2020

Two arithmetic applications of perturbations of composition operators

Sandro Bettin, Sary Drappeau

We estimate the spectral radius of perturbations of a particular family of composition operators, in a setting where the usual choices of norms do not account for the typical size…

math.NT2020★ 9 cited

One-level density estimates for Dirichlet L-functions with extended support

Sary Drappeau, Kyle Pratt, Maksym Radziwiłł

We estimate the $1$ -level density of low-lying zeros of $L (s, χ)$ with $χ$ ranging over primitive Dirichlet characters of conductor $\in [Q /2, Q]$ and for test functions whose Fourie…

math.NT2020

The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields

Sary Drappeau, Gautier Hanna

We consider a numeration system in the ring of integers $O_{K}$ of a number field, which we assume to be principal. We prove that the property of being a prime in ${\mathc…

math.NT2020

On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations

Yann Bugeaud, Dong Han Kim, Michel Laurent +1

We prove that these Cantor sets are made up of transcendental numbers, apart from their endpoints $0$ and $1$ , under some arithmetical assumptions on the data. To that purpose, we…

math.NT2020★ 4 cited

An infinitesimal variant of Guo-Jacquet trace formula II

Huajie Li

We establish an infinitesimal variant of Guo-Jacquet trace formula for the case of a central simple algebra over a number field $F$ containing a quadratic field extension $E / F$ . It…

math.NT2020

Some arithmetic properties of Weil polynomials of the form $t^{2 g} + a t^{g} + q^{g}$

Alejandro J. Giangreco-Maidana

An isogeny class $A$ of abelian varieties defined over finite fields is said to be "cyclic" if every variety in $A$ has a cyclic group of rational points. In th…

Orienting supersingular isogeny graphs

Twisted μ4​-normal form for elliptic curves

Additive double character sums over some structured sets and applications

Multiplicities and Plancherel formula for the space of nondegenerate Hermitian matrices

The first moment of primes in arithmetic progressions: Beyond the Siegel-Walfisz range

Two arithmetic applications of perturbations of composition operators

One-level density estimates for Dirichlet L-functions with extended support

The Thue-Morse and Rudin-Shapiro sequences at primes in principal number fields

On the Diophantine nature of the elements of Cantor sets arising in the dynamics of contracted rotations

An infinitesimal variant of Guo-Jacquet trace formula II

Some arithmetic properties of Weil polynomials of the form t2g+atg+qg

Twisted $μ_{4}$ -normal form for elliptic curves

Some arithmetic properties of Weil polynomials of the form $t^{2 g} + a t^{g} + q^{g}$