Ramanujan-type formulae for $1/\pi$: $q$-analogues
Number Theory
2018-05-30 v2 Classical Analysis and ODEs
Combinatorics
Abstract
The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of , Archimedes' constant, remain an attractive object of arithmetic study. In this note we discuss some -analogues of Ramanujan-type evaluations and of related supercongruences.
Cite
@article{arxiv.1802.04616,
title = {Ramanujan-type formulae for $1/\pi$: $q$-analogues},
author = {Victor J. W. Guo and Wadim Zudilin},
journal= {arXiv preprint arXiv:1802.04616},
year = {2018}
}
Comments
8 pages