On conditional irrationality measures for values of the digamma function

JOURNAL OF NUMBER THEORY

卷:123

Article

Pilehrood, Kh. Hessami ; Pilehrood, T. Hessami

关键词: irrationality measure;    irrationality base;    Digamma function;    Euler's constant;    diophantine approximations;   

DOI  :  10.1016/j.jnt.2006.07.008

来源: Elsevier

【 摘 要 】

The aim of this work is to obtain the so-called standard lemmas on irrationality bases using the principles of Chudnovsky and then apply them to obtain conditional irrationality measures for values of the digamma function. (c) 2006 Elsevier Inc. All rights reserved.

【 授权许可】

Free