Asymptotic behaviour of Ramanujan's tenth order mock theta functions
type: Item
instance of: scholarly article
title: Asymptotic behaviour of Ramanujan's tenth order mock theta functions
zbMATH Open document ID: 1011.11036
author: Bhaskar Srivastava
published in: Kodai Mathematical Journal
publication date: 2003-04-07T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.kmj/1071674435
review text: Following the method used earlier by \textit{G. E. Andrews} and \textit{D. Hickerson} [Adv. Math. 89, 60-105 (1991; Zbl 0739.11042)] for the sixth-order mock-theta functions and by \textit{G. N. Watson} [Proc. Lond. Math. Soc. (2) 42, 274-304 (1936; Zbl 0015.30402)] for the fifth-order mock-theta functions, the author shows that Ramanujan's four additional mock-theta functions are bounded near certain roots of unity. These four additional mock-theta functions of Ramanujan were called the tenth-order mock-theta functions by \textit{Y.-S. Choi} [Invent. Math. 136, 497-569 (1999; Zbl 0951.33013); Adv. Math. 156, 180-285 (2000; Zbl 0984.33007)]. Several other interesting results for these tenth-order mock-theta functions are also proven here.
Mathematics Subject Classification ID: 11F37
Mathematics Subject Classification ID: 11F27
Mathematics Subject Classification ID: 11B65
Mathematics Subject Classification ID: 33D15
zbMATH DE Number: 1881042
reviewed by: H. M. Srivastava
MaRDI profile type: Publication
OpenAlex ID: W2069372081
DOI: 10.2996/KMJ/1071674435
description: scientific article; zbMATH DE number 1881042