A new transcendence measure for the values of the exponential function at algebraic arguments
Fuente:
arXiv
Saved in:
| Main Authors: | Fischler, Stéphane, Rivoal, Tanguy |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Zeros of $E$-functions and of exponential polynomials defined over $\overline{\mathbb{Q}}$
by: Fischler, Stéphane, et al.
Published: (2025)
by: Fischler, Stéphane, et al.
Published: (2025)
Transcendence of values of logarithms of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2024)
by: Fischler, Stéphane, et al.
Published: (2024)
Linear independence of values of G-functions, II. Outside the disk of convergence
by: Fischler, Stéphane, et al.
Published: (2018)
by: Fischler, Stéphane, et al.
Published: (2018)
Values of E-functions are not Liouville numbers
by: Fischler, Stéphane, et al.
Published: (2023)
by: Fischler, Stéphane, et al.
Published: (2023)
On the singularities of differential equations satisfied by $E$-functions
by: Fischler, Stéphane, et al.
Published: (2026)
by: Fischler, Stéphane, et al.
Published: (2026)
Rational approximations to values of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2023)
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)
by: Fischler, Stéphane, et al.
Published: (2023)
Effective algebraic independence of values of E-functions
by: Fischler, S, et al.
Published: (2019)
by: Fischler, S, et al.
Published: (2019)
On Siegel's problem for E-functions
by: Fischler, S., et al.
Published: (2019)
by: Fischler, S., et al.
Published: (2019)
Representability of G-functions as rational functions in hypergeometric series
by: Dreyfus, Thomas, et al.
Published: (2024)
by: Dreyfus, Thomas, et al.
Published: (2024)
A note on G-operators of order 2
by: Fischler, Stéphane, et al.
Published: (2021)
by: Fischler, Stéphane, et al.
Published: (2021)
Linear independence of odd zeta values using Siegel's lemma
by: Fischler, Stéphane
Published: (2021)
by: Fischler, Stéphane
Published: (2021)
Arithmetic properties of the Taylor coefficients of differentially algebraic power series
by: Krattenthaler, Christian, et al.
Published: (2025)
by: Krattenthaler, Christian, et al.
Published: (2025)
A note on transcendence of special values of functions related to modularity
by: Bhowmik, Tapas, et al.
Published: (2024)
by: Bhowmik, Tapas, et al.
Published: (2024)
Real geometric transcendence for the Gamma function
by: Sheth, Arshay
Published: (2026)
by: Sheth, Arshay
Published: (2026)
Abel's problem, Gauss and Cartier congruences over number fields
by: Delaygue, Éric, et al.
Published: (2025)
by: Delaygue, Éric, et al.
Published: (2025)
Real geometric transcendence for Weierstrass elliptic functions
by: Sheth, Arshay, et al.
Published: (2025)
by: Sheth, Arshay, et al.
Published: (2025)
Explicit formulae for the mean value of products of values of Dirichlet $L$-functions at positive integers
by: Louboutin, Stéphane
Published: (2024)
by: Louboutin, Stéphane
Published: (2024)
On the transcendence of some operations of infinite series
by: Ahallal, Sarra, et al.
Published: (2024)
by: Ahallal, Sarra, et al.
Published: (2024)
Large deviations of the argument of the Riemann zeta function
by: Dobner, Alexander
Published: (2021)
by: Dobner, Alexander
Published: (2021)
On the transcendence of special values of Goss $L$-functions attached to Drinfeld modules
by: Gezmiş, Oğuz, et al.
Published: (2021)
by: Gezmiş, Oğuz, et al.
Published: (2021)
Explicit extreme values of the argument of the Riemann zeta-function
by: Inoue, Shōta, et al.
Published: (2025)
by: Inoue, Shōta, et al.
Published: (2025)
Integral representations of the Riemann zeta function of odd argument
by: Pain, Jean-Christophe
Published: (2024)
by: Pain, Jean-Christophe
Published: (2024)
Mean value theorems for rational exponential sums
by: Koh, Doowon, et al.
Published: (2025)
by: Koh, Doowon, et al.
Published: (2025)
Large values of exponential sums with multiplicative coefficients
by: Granville, Andrew, et al.
Published: (2026)
by: Granville, Andrew, et al.
Published: (2026)
The transcendence of $\mathrm{e}$ via formal power series
by: Klazar, Martin
Published: (2026)
by: Klazar, Martin
Published: (2026)
Arithmetic properties of arguments of algebraic numbers on the unit circle
by: Ferreira, Geraldo César Gonçalves, et al.
Published: (2026)
by: Ferreira, Geraldo César Gonçalves, et al.
Published: (2026)
On the finite transcendence of Frobenius traces for abelian varieties over $\mathbb{Q}$
by: Tsuruta, Yuto
Published: (2026)
by: Tsuruta, Yuto
Published: (2026)
An arithmetic characterization of some algebraic functions and a new proof of an algebraicity prediction by Golyshev
by: Bostan, Alin
Published: (2024)
by: Bostan, Alin
Published: (2024)
Non-periodicity of the sequence of the last nonzero digits of factorials and its applications to transcendence
by: Gejima, Kohta, et al.
Published: (2025)
by: Gejima, Kohta, et al.
Published: (2025)
Dedekind sums and mean square value of $L(1,χ)$ over subgroups
by: Louboutin, Stéphane
Published: (2024)
by: Louboutin, Stéphane
Published: (2024)
A note on linear forms in two logarithms: the argument of an algebraic power
by: Yamada, Tomohiro
Published: (2019)
by: Yamada, Tomohiro
Published: (2019)
The $L^1$ mean of the exponential sum of the divisor function
by: Parry, Tomos
Published: (2024)
by: Parry, Tomos
Published: (2024)
Bounding the integral of the argument of the Riemann Zeta function
by: Amberger, Victor
Published: (2025)
by: Amberger, Victor
Published: (2025)
A note on the multiple zeta functions and their variants at identical arguments
by: Mehta, Pawan Singh
Published: (2026)
by: Mehta, Pawan Singh
Published: (2026)
On the Liouville function at polynomial arguments
by: Teräväinen, Joni
Published: (2020)
by: Teräväinen, Joni
Published: (2020)
A Lie algebra associated with adjoint multiple zeta values
by: Anzawa, Takumi
Published: (2025)
by: Anzawa, Takumi
Published: (2025)
Values of algebraic functions at Liouville numbers
by: Bilu, Yuri, et al.
Published: (2026)
by: Bilu, Yuri, et al.
Published: (2026)
Ratios of consecutive values of the divisor function
by: Eberhard, Sean
Published: (2025)
by: Eberhard, Sean
Published: (2025)
On the mean values of the Chebyshev functions and their applications
by: Rakhmonov, Z., et al.
Published: (2025)
by: Rakhmonov, Z., et al.
Published: (2025)
Similar Items
-
Zeros of $E$-functions and of exponential polynomials defined over $\overline{\mathbb{Q}}$
by: Fischler, Stéphane, et al.
Published: (2025) -
Transcendence of values of logarithms of $E$-functions
by: Fischler, Stéphane, et al.
Published: (2024) -
Linear independence of values of G-functions, II. Outside the disk of convergence
by: Fischler, Stéphane, et al.
Published: (2018) -
Values of E-functions are not Liouville numbers
by: Fischler, Stéphane, et al.
Published: (2023) -
On the singularities of differential equations satisfied by $E$-functions
by: Fischler, Stéphane, et al.
Published: (2026)