Results 21 to 30 of about 44 (30)

Proof of a conjectural congruence of Chan for Appell–Lerch sums

International Journal of Number Theory, 2020
In 2012, Chan posed six conjectures on congruences for Appell–Lerch sums and five of them were proved by mathematicians. In this paper, we confirm the remaining conjectural congruence of Chan by utilizing an identity due to Hickerson and Mortenson and the theory of modular forms.
Yan Fan, Liuquan Wang, Ernest X. W. Xia
openaire   +2 more sources

TWO CONGRUENCES FOR APPELL–LERCH SUMS

International Journal of Number Theory, 2012
Two congruences are proved for an infinite family of Appell–Lerch sums. As corollaries, special cases imply congruences for some of the mock theta functions of order two, six and eight.
Chan, Song Heng, Mao, Renrong
openaire   +3 more sources

Lerch-harmonic numbers related to Lerch transcendent

Mathematical and Computer Modelling of Dynamical Systems, 2023
Hyunseok Lee, Taekyun Kim
exaly  

Three-parameter mock theta functions

Journal of Mathematical Analysis and Applications, 2022
Qing-Hu Hou, S -P Cui, Nancy Gu
exaly  

Some identities for Appell–Lerch sums and a universal mock theta function

Ramanujan Journal, 2017
Richard J Mcintosh, Mcintosh Richard J
exaly  

Properties of the Appell–Lerch function (I)

Ramanujan Journal, 2021
exaly  

Exponential and trigonometric sums associated with the Lerch zeta and Legendre chi functions

Computers and Mathematics With Applications, 2010
Djurdje Cvijovic
exaly  

Appell polynomials as values of special functions

Journal of Mathematical Analysis and Applications, 2018
Juan Luis Varona, Luis M Navas, FRANCISCO J Ruiz   +2 more
exaly  

Two identities on the mock theta function V0(q)

Journal of Mathematical Analysis and Applications, 2019
Renrong Mao
exaly  

Mock Theta-Functions of the Third Order of Ramanujan in Terms of Appell–Lerch Series

2018
Changgui Zhang
exaly