Some hypergeometric functions in positive characteristic and transcendence

被引：0

作者：

Li, Mao-Sheng ^{[1
]}

机构：

[1] Tsinghua Univ, Dept Math Sci, Beijing 100084, Peoples R China

来源：

COMPTES RENDUS MATHEMATIQUE | 2019年 / 357卷 / 04期

基金：

中国国家自然科学基金;

关键词：

SPECIAL VALUES;

D O I：

10.1016/j.crma.2019.03.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work, we study some special hypergeometric functions in positive characteristic, introduced by D.S. Thakur. We shall establish functional relationships among them, and deduce, with the help of the function field version of the Schneider-Lang theorem obtained by J. Yu, that at least one of their values at nonzero algebraic arguments is transcendental. (C) 2019 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：317 / 322

页数：6