Institut Fourier

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19952026

most citedHyperbolically embedded subgroups and rotating families in groups acting on hyperbolic spaces

224 citations

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65 papers · 1 filter

math.NT2025

Explicit Uniform Lower Bounds for the Canonical Height on Elliptic Curves over Abelian Extensions

Jonathan Jenvrin

We establish an explicit lower bound for the Néron-Tate height on elliptic curves with complex multiplication, for nontorsion points defined over the maximal abelian extension of a…

math.NT2025

Arithmetic properties of the Taylor coefficients of differentially algebraic power series

Christian Krattenthaler, Tanguy Rivoal

Let $f = \sum_{n = 0}^{\infty} f_{n} x^{n} \in Q [[x]$ be a solution of an algebraic differential equation $Q (x, y (x), \dots, y^{(k)} (x)) = 0$ , where $Q$ is a multivariate po…

math.NT2025

On a local property of infinite Galois extensions implying the Northcott property

Jonathan Jenvrin

In 2001, Bombieri and Zannier studied the Northcott property (N) for infinite Galois extensions of the rationals. In particular they provided a local property of the extensions tha…

math.NT2024

The convergence Newton polygon of a $p$ -adic differential equation IV : controlling graphs

Jérôme Poineau, Andrea Pulita

In our previous works we proved a finiteness property of the radii of convergence functions associated with a vector bundle with connection on $p$ -adic analytic curves. We showed t…

math.NT2024

Regular singular differential modules over differential rings

Andrea Pulita

We obtain Fuchs decomposition theorem for regular singular differential modules over a large class of differential rings. We provide a definition of regularity inspired by differen…

math.NT2024

Transcendence of values of logarithms of $E$ -functions

Stéphane Fischler, Tanguy Rivoal

Let $f$ be an $E$ -function (in Siegel's sense) not of the form $e^{β z}$ , $β \in Q$ , and let $lo g$ denote any fixed determination of the complex logarithm. We fi…

Explicit Uniform Lower Bounds for the Canonical Height on Elliptic Curves over Abelian Extensions

Arithmetic properties of the Taylor coefficients of differentially algebraic power series

On a local property of infinite Galois extensions implying the Northcott property

The convergence Newton polygon of a p-adic differential equation IV : controlling graphs

Regular singular differential modules over differential rings

Transcendence of values of logarithms of E-functions

The convergence Newton polygon of a $p$ -adic differential equation IV : controlling graphs

Transcendence of values of logarithms of $E$ -functions