Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\)
type: Item
instance of: scholarly article
title: Ramanujan's Eisenstein series and new hypergeometric-like series for \(1/\pi ^{2}\)
zbMATH Open document ID: 1185.33002
author: Nayandeep Deka Baruah
author: Bruce C. Berndt
published in: Journal of Approximation Theory
publication date: 2009-12-03T00:00:00Z
review text: Certain representations for Eisenstein series, identities for hypergeometric series and the values of various singular moduli are used to derive several new series representations for \(\frac{1}{\pi^2}\).
reviewed by: Nele De Schepper
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 33E05
Mathematics Subject Classification ID: 11F11
Mathematics Subject Classification ID: 11R29
zbMATH DE Number: 5641728
zbMATH Keywords: hypergeometic series
zbMATH Keywords: Eisenstein series
zbMATH Keywords: modular equations
zbMATH Keywords: theta functions
MaRDI profile type: Publication
full work available at URL: j.jat.2008.04.002
OpenAlex ID: W2167548779
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DOI: 10.1016/J.JAT.2008.04.002
description: scientific article; zbMATH DE number 5641728