Cover Image

On the singularities of differential equations satisfied by $E$-functions

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Fischler, Stéphane, Rivoal, Tanguy
Format:	Preprint
Published:	2026
Subjects:	Number Theory
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

Transcendence of values of logarithms of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2024)

Values of E-functions are not Liouville numbers
by: Fischler, Stéphane, et al.
Published: (2023)

Zeros of $E$-functions and of exponential polynomials defined over $\overline{\mathbb{Q}}$
by: Fischler, Stéphane, et al.
Published: (2025)

A new transcendence measure for the values of the exponential function at algebraic arguments
by: Fischler, Stéphane, et al.
Published: (2025)

Linear independence of values of G-functions, II. Outside the disk of convergence
by: Fischler, Stéphane, et al.
Published: (2018)

Rational approximations to values of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2023)

Relations between values of arithmetic Gevrey series, and applications to values of the Gamma function
by: Fischler, Stéphane, et al.
Published: (2023)

On Siegel's problem for E-functions
by: Fischler, S., et al.
Published: (2019)

Effective algebraic independence of values of E-functions
by: Fischler, S, et al.
Published: (2019)

Representability of G-functions as rational functions in hypergeometric series
by: Dreyfus, Thomas, et al.
Published: (2024)

A note on G-operators of order 2
by: Fischler, Stéphane, et al.
Published: (2021)

Arithmetic properties of the Taylor coefficients of differentially algebraic power series
by: Krattenthaler, Christian, et al.
Published: (2025)

Linear independence of odd zeta values using Siegel's lemma
by: Fischler, Stéphane
Published: (2021)

Abel's problem, Gauss and Cartier congruences over number fields
by: Delaygue, Éric, et al.
Published: (2025)

Regular singular differential modules over differential rings
by: Pulita, Andrea
Published: (2024)

On some analytic properties of a function associated with the Selberg class satisfying certain special conditions
by: Iwata, Hideto
Published: (2023)

On Signs of eigenvalues of Modular forms satisfying Ramanujan Conjecture
by: Addanki, Nagarjuna Chary
Published: (2024)

Selmer ranks under quadratic twists satisfying the Heegner hypothesis
by: Konstantinou, Alexandros
Published: (2025)

Explicit formulae for the mean value of products of values of Dirichlet $L$-functions at positive integers
by: Louboutin, Stéphane
Published: (2024)

Random conic bundle surfaces satisfy the Hasse principle
by: Frei, Christopher, et al.
Published: (2026)

Infinite order linear difference equation satisfied by a refinement of Goss zeta function
by: Hu, Su, et al.
Published: (2021)

Integrality of Picard-Fuchs differential equations of Kobayashi geodesics and applications
by: Bogo, Gabriele
Published: (2025)

Regular singular Mahler equations and Newton polygons
by: Faverjon, Colin, et al.
Published: (2025)

A functional equation for multiple zeta functions and generalized confluent hypergeometric functions
by: Yokoi, Anju
Published: (2025)

Multivariable de Rham representations, Sen theory and $p$-adic differential equations
by: Brinon, Olivier, et al.
Published: (2021)

Hausdorff dimension of singular vectors in function fields
by: Aranov, Noy Soffer, et al.
Published: (2024)

The convergence Newton polygon of a $p$-adic differential equation III : global decompositions
by: Poineau, Jérôme, et al.
Published: (2013)

The convergence Newton polygon of a $p$-adic differential equation IV : controlling graphs
by: Poineau, Jérôme, et al.
Published: (2024)

On surfaces satisfying $q=0,p_g=0,c_1^2=9$
by: Joshi, Kirti
Published: (2025)

Irregular Hodge filtration of hypergeometric differential equations
by: Qin, Yichen, et al.
Published: (2023)

The asymptotic in Waring's problem over function fields via a singular locus in the circle method
by: Sawin, Will
Published: (2024)

Solving norm equations in global function fields
by: Leem, Sumin, et al.
Published: (2024)

The convergence Newton polygon of a $p$-adic differential equation V : local index theorems
by: Poineau, Jérôme, et al.
Published: (2013)

Modular differential equations and orthogonal polynomials
by: Besrour, Khalil, et al.
Published: (2025)

Monodromy representations of $p$-adic differential equations in families
by: Kedlaya, Kiran S.
Published: (2022)

Dedekind sums and mean square value of $L(1,χ)$ over subgroups
by: Louboutin, Stéphane
Published: (2024)

On modular forms of rational weight satisfying the canonical second-order linear modular differential equation
by: Sakai, Yuichi, et al.
Published: (2026)

Functional equation of the $p$-adic $L$-function of Bianchi modular forms
by: Palacios, Luis Santiago
Published: (2021)

A class number problem for imaginary cyclic number fields of 2-power degrees
by: Louboutin, Stéphane R.
Published: (2025)

On zeta elements and functional equations for Tate motives over totally real fields
by: Atsuta, Mahiro
Published: (2026)