An arithmetic characterization of some algebraic functions and a new proof of an algebraicity prediction by Golyshev

Autor:	Bostan, Alin
Rok vydání:	2024
Předmět:	Mathematics - Number Theory
Druh dokumentu:	Working Paper
Popis:	We provide a new arithmetic characterization for the sequence of coefficients of algebraic power series $f(t)$ having the property that the differential equation $y'(t) = f(t) y(t)$ has algebraic solutions only. This extends a recent result by Delaygue and Rivoal, and also provides a new and shorter proof of an algebraicity result predicted by Golyshev. Comment: 6 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2408.13951 Zobrazit plný text záznamu View this record from Arxiv