Title of article
Generalizations of Mock Theta Functions and Appell–Lerch Sums
Author/Authors
Cui ، Su-Ping Department of Mathematics - School of Mathematics and Statistics - Qinghai Normal University , S.S. Gu ، Nancy Department of Mathematics - Center for Combinatorics - Nankai University , Tang ، Dazhao Department of Mathematics - School of Mathematical Sciences - Chongqing Normal University
From page
1
To page
17
Abstract
Ramanujan named and first studied mock theta functions which can be represented by Eulerian forms, Appell–Lerch sums, Hecke-type double sums, and Fourier coefficients of meromorphic Jacobi forms. In this paper, we investigate some generalizations of mock theta functions and express them in terms of Appell–Lerch sums. For instance, one result proved in the present paper is that for any positive integer r , |q| 1, and x, so that no denominators vanish.
Keywords
Mock theta functions , Universal mock theta functions , Appell–Lerch sums ,
Journal title
Bulletin of the Iranian Mathematical Society
Journal title
Bulletin of the Iranian Mathematical Society
Record number
2757104
Link To Document