Published August 31, 2002 | Version v1
Journal article

On the irrationality measure for a q-analogue of ζ(2)

Creators

  • 1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)

Description

A Liouville-type estimate is proved for the irrationality measure of quantities. The proof is based on the application of a q-analogue of the arithmetic method developed by Chudnovsky, Rukhadze, and Hata and of the transformation group for hypergeometric series-the group-structure approach introduced by Rhin and Viola

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2002v193n08ABEH000674

Additional details

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
193
Journal Issue
8
Journal Page Range
p. 1151-1172
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40076242
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
GROUP THEORY; HYPERGEOMETRIC FUNCTIONS; MEASURE THEORY; TRANSFORMATIONS
Descriptors DEC
FUNCTIONS; MATHEMATICS