Zobrazeno 1 - 10
of 1 940
pro vyhledávání: '"Rivoal, A."'
Autor:
Fischler, Stéphane, Rivoal, Tanguy
Let $f$ be an $E$-function (in Siegel's sense) not of the form $e^{\beta z}$, $\beta \in \overline{\mathbb{Q}}$, and let $\log$ denote any fixed determination of the complex logarithm. We first prove that there exists a finite set $S(f)$ such that fo
Externí odkaz:
http://arxiv.org/abs/2409.18537
Autor:
Dreyfus, Thomas, Rivoal, Tanguy
Fres\'an and Jossen have given a negative answer to a question of Siegel about the representability of every $E$-function as a polynomial with algebraic coefficients in $E$-functions of type ${}_pF_q[\underline{a};\underline{b};\gamma x^{q-p+1}]$ wit
Externí odkaz:
http://arxiv.org/abs/2405.12568
Autor:
Fischler, Stéphane, Rivoal, Tanguy
We solve a long standing problem in the theory of Siegel's $E$-functions, initiated by Lang for Bessel's function $J_0$ in the 60's and considered in full generality by G. Chudnovsky in the 80's: we prove that irrational values taken at rational poin
Externí odkaz:
http://arxiv.org/abs/2312.12043
Autor:
Fischler, Stéphane, Rivoal, Tanguy
We investigate the relations between the rings ${\bf E}$, ${\bf G}$ and ${\bf D}$ of values taken at algebraic points by arithmetic Gevrey series of order either $-1$ ($E$-functions), $0$ (analytic continuations of $G$-functions) or $1$ (renormalizat
Externí odkaz:
http://arxiv.org/abs/2301.13518
Autor:
Fischler, Stéphane, Rivoal, Tanguy
Shidlovskii has given a linear independence measure of values of $E$-functions with rational Taylor coefficients at a rational point, not a singularity of the underlying differential system satisfied by these $E$-functions. Recently, Beukers has prov
Externí odkaz:
http://arxiv.org/abs/2301.01158
Autor:
Delaygue, É., Rivoal, T.
A classical problem due to Abel is to determine if a differential equation $y'=\eta y$ admits a non-trivial solution $y$ algebraic over $\mathbb C(x)$ when $\eta$ is a given algebraic function over $\mathbb C(x)$. Risch designed an algorithm that, gi
Externí odkaz:
http://arxiv.org/abs/2209.03301
A power series being given as the solution of a linear differential equation with appropriate initial conditions, minimization consists in finding a non-trivial linear differential equation of minimal order having this power series as a solution. Thi
Externí odkaz:
http://arxiv.org/abs/2209.01827
Autor:
Pati, Palas B., Phelan, Brian T., Melinato, Federica, Barandiarán, Estefanía Teruel, Lefèvre, François-Xavier, Rivoal, Marion, La, Carole, Queffélec, Clémence, Blart, Errol, Terrisse, Hélène, Humbert, Bernard, Chen, Lin X., Forster, Robert J., Pellegrin, Yann
Publikováno v:
In Journal of Photochemistry & Photobiology, A: Chemistry 1 July 2024 452
