Evaluation of Hecke–Rogers series and expansions of the rank function

A formula is established for the evaluation of double series of Hecke–Rogers type in terms of theta functions and Appell–Lerch functions. This formula is similar to others obtained previously by Hickerson and Mortenson, and by Mortenson and Zwegers. It is applied to the rank function, leading to an...

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Bibliographic Details
Published in:	The Ramanujan journal Vol. 65; no. 4; pp. 1949 - 1970
Main Author:	Bradley-Thrush, J. G.
Format:	Journal Article
Language:	English
Published:	New York Springer US 01.12.2024
Subjects:	Combinatorics Field Theory and Polynomials Fourier Analysis Functions of a Complex Variable Mathematics Mathematics and Statistics Number Theory Hecke–Rogers series Basic hypergeometric functions Appell–Lerch series 33D15 Theta functions
ISSN:	1382-4090, 1572-9303
Online Access:	Get full text
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