Special values of fractional hypergeometric functions for function fields

被引：1

作者：

Yao, Jia-Yan ^{[1
]}

机构：

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

来源：

COMPTES RENDUS MATHEMATIQUE | 2012年 / 350卷 / 17-18期

基金：

中国国家自然科学基金;

关键词：

EQUATIONS;

D O I：

10.1016/j.crma.2012.10.002

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this work we study the fractional hypergeometric functions for function fields, introduced by D.S. Thakur. We shall characterize algebraic functions among them, and show the transcendence of special values at some nonzero algebraic arguments, in the case when they are entire transcendental functions. (C) 2012 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.

引用

页码：801 / 806

页数：6

共 16 条

[1] Andre Y., 2003, MSJ MEM, V12
[2] [Anonymous], 1998, ALGEBRAIC NUMBER THE
[3] MONODROMY FOR THE HYPERGEOMETRIC FUNCTION NFN-1
BEUKERS, F
HECKMAN, G
[J]. INVENTIONES MATHEMATICAE, 1989, 95 (02) : 325 - 354
[4] Dwork B., 1969, I HAUTES ETUDES SCI, V37, P27
[5] KATZ N.M., 1973, Lecture Notes in Mathematics, V317, P167
[6] KOCHUBEI A. N., 2009, CAMBRIDGE TRACTS MAT, V178
[7] Evolution equations and functions of hypergeometric type over fields of positive characteristic
Kochubei, Anatoly N.
[J]. BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2007, 14 (05) : 947 - 959
[8] Kochubei AN, 2007, PROG MATH, V260, P163
[9] Rodriguez Villegas F, 2007, INTEGRAL RATIOS FACT
[10] THAKUR D. S., 2004, Function field arithmetic

← 1 2 →