Ramanujan-type formulae for $1/\pi$: $q$-analogues

Abstract

The hypergeometric formulae designed by Ramanujan more than a century ago for efficient approximation of $\pi$, Archimedes' constant, remain an attractive object of arithmetic study. In this note we discuss some $q$-analogues of Ramanujan-type evaluations and of related supercongruences.

8 pages

Cited by in corpus (2)

• A $q$-microscope for supercongruences
• On a $q$-deformation of modular forms