Lost in Translation

Conference paper

DOI: 10.1007/978-3-642-30979-3_16

Cite this paper as:
Zudilin W. (2013) Lost in Translation. In: Kotsireas I., Zima E. (eds) Advances in Combinatorics. Springer, Berlin, Heidelberg

Abstract

We explain the use and set grounds about applicability of algebraic transformations of arithmetic hypergeometric series for proving Ramanujan’s formulae for \(1/\pi\) and their generalisations.

Keywords

\(\pi\) Ramanujan Arithmetic hypergeometric series Algebraic transformation Modular function 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.School of Mathematical and Physical SciencesThe University of NewcastleCallaghanAustralia