Université Bordeaux-I

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19932020

most citedHabitable Zones Around Main-Sequence Stars: New Estimates

1.6k citations

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

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19 papers · 1 filter

math.NT2015

On a divisibility relation for Lucas sequences

Yuri Bilu, Takao Komatsu, Florian Luca +2

In this note, we study the divisibility relation $U_{m} ∣ U_{n + k}^{s} - U_{n}^{s}$ , where $U := {U_{n}}_{n \geq 0}$ is the Lucas sequence of characteristic polynomial $x^{2} - a x \pm 1$ and $…

math.NT2013

Fourier coefficients of GL(N) automorphic forms in arithmetic progressions

Emmanuel Kowalski, Guillaume Ricotta

We show that the multiple divisor functions of integers in invertible residue classes modulo a prime number, as well as the Fourier coefficients of GL(N) Maass cusp forms for all N…

math.NT2013★ 19 cited

Tetrahedral Elliptic Curves and the local-global principle for Isogenies

Barinder Singh Banwait, John Cremona

We study the failure of a local-global principle for the existence of $l$ -isogenies for elliptic curves over number fields $K$ . Sutherland has shown that over $Q$ there is…

math.NT2013★ 13 cited

Signed fundamental domains for totally real number fields

Francisco Diaz y Diaz, Eduardo Friedman

We give a signed fundamental domain for the action on $R_{+}^{n}$ of the totally positive units $E_{+}$ of a totally real number field $k$ of degree $n$ . The domain $\big\{(C_σ,…

math.NT2013★ 5 cited

The classifying topos of a group scheme and invariants of symmetric bundles

Philippe Cassou-Noguès, Ted Chinburg, Baptiste Morin +1

Let $Y$ be a scheme in which 2 is invertible and let $V$ be a rank $n$ vector bundle on $Y$ endowed with a non-degenerate symmetric bilinear form $q$ . The orthogonal group ${\bf O}…

math.NT2012★ 3 cited

Computing modular Galois representations

Nicolas Mascot

We compute modular Galois representations associated with a newform $f$ , and study the related problem of computing the coefficients of $f$ modulo a small prime $ℓ$ . To this end…

math.NT2012

Bounding the $j$ -invariant of integral points on certain modular curves

Min Sha

In this paper, we obtain two effective bounds for the $j$ -invariant of integral points on certain modular curves which has positive genus and less than three cusps.

math.NT2011

The class group pairing and $p$ -descent on elliptic curves

Jean Gillibert, Christian Wuthrich

We give explicit formulae for the logarithmic class group pairing on an elliptic curve defined over a number field. Then we relate it to the descent relative to a suitable cyclic i…

math.NT2011★ 4 cited

On uniform large Galois images for modular abelian varieties

Eknath Ghate, Pierre Parent

We formulate a question regarding uniform versions of "large Galois image properties" for modular abelian varieties of higher dimension, generalizing the well-known case of ellipti…

math.NT2011

Un lemme matriciel effectif

Pascal Autissier

We show an almost optimal effective version of Masser's matrix lemma, giving a lower bound of the height of an abelian variety in terms of its period lattices.

math.NT2009★ 1 cited

Zhang's conjecture and squares of abelian surfaces

F. Pazuki

We give in this paper some squares of abelian surfaces that are counterexamples to a conjecture formulated by Zhang about the intersection of subvarieties and preperiodic points.

math.NT2009★ 1 cited

Global descent obstructions for varieties

Jean-Marc Couveignes, Emmanuel Hallouin

We show how to transport descent obstructions from the category of covers to the category of varieties. We deduce examples of curves having $\QQ$ as field of moduli, that admit mod…

math.NT2009★ 5 cited

Effective Siegel's theorem for modular curves

Yuri Bilu, Marco Illengo

We prove that integral points can be effectively determined on all but finitely many modular curves, and on all but one modular curve of prime power level.

math.NT2009

On a mixed problem in Diophantine approximation

Yann Bugeaud, Bernard De Mathan

Let $d$ be a positive integer. Let $p$ be a prime number. Let $α$ be a real algebraic number of degree $d + 1$ . We establish that there exist a positive constant $c$ and infinitely m…

math.NT2008

Minoration de la hauteur de Neron-Tate sur les surfaces abeliennes

Fabien Pazuki

This paper contains results concerning a conjecture made by Lang and Silverman predicting a lower bound for the canonical height on abelian varieties of dimension 2 over number fie…

math.NT2008★ 5 cited

The second moment of Dirichlet twists of Hecke $L$ -functions

Peng Gao, Rizwanur Khan, Guillaume Ricotta

Fix a Hecke cusp form $f$ , and consider the $L$ -function of $f$ twisted by a primitive Dirichlet character. As we range over all primitive characters of a large modulus $q$ , what i…

math.NT2008★ 4 cited

Algebraic continued fractions in F_q((T^{-1})) and recurrent sequences in F_q

Alain Lasjaunias

There exists a particular subset of algebraic power series over a finite field which, for different reasons, can be compared to the subset of quadratic real numbers. The continued…

math.NT2003★ 2 cited

Constructing and counting number fields

Henri Cohen

In this paper we give a survey of recent methods for the asymptotic and exact enumeration of number fields with given Galois group of the Galois closure. In particular, the case of…

math.NT1994★ 13 cited

Conformal Characters and Theta Series

Wolgang Eholzer, Nils-Peter Skoruppa

We describe the construction of vector valued modular forms transforming under a given congruence representation of the modular group SL $(Z)$ in terms of theta series. We app…