Results 151 to 160 of about 44,715 (186)

100 Years of mock theta functions

The Ramanujan Journal
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Proofs of Silva–Sellers’ conjectures on a mock theta function

RACSAM, 2021
O. Yao
semanticscholar   +1 more source

Two 2/5-level mock theta conjecture-like identities

Research in Number Theory
Determining the explicit forms and modularity for string functions and branching coefficients for Kac–Moody algebras after Kac, Peterson, and Wakimoto is an important problem.
Stepan Konenkov, E. Mortenson
semanticscholar   +1 more source

The ranks of (a,b)-Fibonacci sequences and congruences for certain partition functions and Ramanujan's mock theta functions

Forum mathematicum
In this paper, employing some identities due to Newman, we present a new method for discovering infinite families of congruences and strange congruences for c ⁢ ( n ) {c(n)} which is defined by ∑ n = 0 ∞ c ⁢ ( n ) ⁢ q n = ∏ k = 1 ∞ ( 1 - q k ) r ⁢ ( 1 ...
E. X. Xia
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New parameterized mock theta functions and Hecke-type double sums

New Zealand Journal of Mathematics
In this paper we express two new mock theta functions with one parameter as the Appell-Lerch sums using the Bailey mechanism. Meanwhile, we also obtain some Hecke-type double sums for some new $q$-series.
Li-Jun Hao, Liang-Liang Xu
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Irrational Behavior of Bilateral Mock Theta Functions

International Journal of Science and Engineering Science Research
Ramanujan was the first who introduced the mock theta functions in his last letter to G. H. Hardy in January 1920. Shukla and Ahmad obtained bilateral mock theta functions of order 7, 9, …, 2r + 1, and they have shown that these functions meet the mock ...
J. Singh
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New congruences modulo 5 for partition related to mock theta function $$\omega (q)$$

, 2021
Bernard L. S. Lin, Jiejuan Xiao
semanticscholar   +1 more source

Recent Work on Mock Theta Functions

2018
The work of Ramanujan has had a wide ranging impact in many branches of mathematics. Among many fields of research influenced by Ramanujan, few are as currently vibratingly active as the area of mock theta functions. In this chapter, we provide a brief and incomplete account of this activity.
George E. Andrews, Bruce C. Berndt
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Arithmetic properties for a partition function related to the Ramanujan/Watson mock theta function $$\omega (q)$$ω(q)

The Ramanujan journal, 2018
Ernest X. W. Xia
semanticscholar   +2 more sources

Congruences modulo 4 and 8 for Ramanujan’s sixth-order mock theta function ρ(q)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{do

The Ramanujan journal
Yueya Hu, Eric H. Liu, O. Yao
semanticscholar   +1 more source