Title: Duality involving the mock theta function <i>f</i> (<i>q</i> )
Abstract: Journal of the London Mathematical SocietyVolume 77, Issue 2 p. 320-334 Articles Duality involving the mock theta function f(q) Correction(s) for this article Duality involving the mock theta function f(q) Amanda Folsom, Ken Ono, Volume 79Issue 2Journal of the London Mathematical Society pages: 544-544 First Published online: October 3, 2008 Amanda Folsom, Corresponding Author Amanda Folsom [email protected] Department of Mathematics, University of Wisconsin, Madison WI 53706, USA, [email protected]@math.wisc.eduSearch for more papers by this authorKen Ono, Ken Ono Department of Mathematics, University of Wisconsin, Madison WI 53706, USA, [email protected] for more papers by this author Amanda Folsom, Corresponding Author Amanda Folsom [email protected] Department of Mathematics, University of Wisconsin, Madison WI 53706, USA, [email protected]@math.wisc.eduSearch for more papers by this authorKen Ono, Ken Ono Department of Mathematics, University of Wisconsin, Madison WI 53706, USA, [email protected] for more papers by this author First published: 13 February 2008 https://doi.org/10.1112/jlms/jdm119Citations: 14 Dedicated to Dorian Goldfeld on the occasion of his sixtieth birthday 2000 Mathematics Subject Classification 11F37, 33D15. The authors thank the National Science Foundation for their generous support.The first author is supported by an NSF Postdoctoral Fellowship. AboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinked InRedditWechat ABSTRACT We show that the coefficients of Ramanujan's mock theta function f(q) are the first non-trivial coefficients of a canonical sequence of modular forms. This fact follows from a duality which equates coefficients of the holomorphic projections of certain weight 1/2 Maass forms with coefficients of certain weight 3/2 modular forms. This work depends on the theory of Poincaré series, and a modification of an argument of Goldfeld and Sarnak on Kloosterman–Selberg zeta functions. Citing Literature Volume77, Issue2April 2008Pages 320-334 RelatedInformation
Publication Year: 2008
Publication Date: 2008-02-13
Language: en
Type: article
Indexed In: ['crossref']
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Cited By Count: 17
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