ON A CONJECTURE OF KIMOTO AND WAKAYAMA

被引：13

作者：

Long, Ling ^{[1
]}

Osburn, Robert ^{[2
]}

Swisher, Holly ^{[3
]}

机构：

[1] Louisiana State Univ, Dept Math, 303 Lockett Hall, Baton Rouge, LA 70803 USA

[2] Univ Coll Dublin, Sch Math & Stat, Dublin 4, Ireland

[3] Oregon State Univ, Dept Math, 368 Kidder Hall, Corvallis, OR 97331 USA

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2016年 / 144卷 / 10期

基金：

美国国家科学基金会;

关键词：

SPECIAL VALUES; ZETA-FUNCTIONS; OSCILLATOR;

D O I：

10.1090/proc/13198

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a conjecture due to Kimoto and Wakayama from 2006 concerning Apery-like numbers associated to a special value of a spectral zeta function. Our proof uses hypergeometric series and p-adic analysis.

引用

页码：4319 / 4327

页数：9

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