LAUSR

About LAUSR
Donate
Contact Us

Follow us:

You are not signed in:

Sign Up!


   Articles with "mock theta" as a keyword



Representations of mock theta functions

Sign Up to like & get
recommendations! Published in 2020 at "Advances in Mathematics"

DOI: 10.1016/j.aim.2020.107037

Abstract: Abstract Motivated by the works of Liu, we provide a unified approach to find Appell-Lerch series and Hecke-type series representations for mock theta functions. We establish a number of parameterized identities with two parameters a… read more here.

Keywords: representations mock; theta functions; lerch series; mock theta ... See more keywords
Photo by imperiumnordique from unsplash

ARITHMETIC PROPERTIES OF COEFFICIENTS OF THE MOCK THETA FUNCTION $B(q)$

Sign Up to like & get
recommendations! Published in 2019 at "Bulletin of the Australian Mathematical Society"

DOI: 10.1017/s0004972719001175

Abstract: We investigate the arithmetic properties of the second-order mock theta function $B(q)$ and establish two identities for the coefficients of this function along arithmetic progressions. As applications, we prove several congruences for these coefficients. read more here.

Keywords: properties coefficients; theta function; mock theta; coefficients mock ... See more keywords
Photo by imperiumnordique from unsplash

Combinatorics of two second-order mock theta functions

Sign Up to like & get
recommendations! Published in 2020 at "International Journal of Number Theory"

DOI: 10.1142/s1793042120400229

Abstract: We introduce combinatorial interpretations of the coefficients of two second-order mock theta functions. Then, we provide a bijection that relates the two combinatorial interpretations for each function. By studying other special cases of the multivariate… read more here.

Keywords: mock theta; two second; order mock;
Photo by imperiumnordique from unsplash

A mock theta function identity related to the partition rank modulo 3 and 9

Sign Up to like & get
recommendations! Published in 2020 at "International Journal of Number Theory"

DOI: 10.1142/s1793042120400254

Abstract: We prove a new mock theta function identity related to the partition rank modulo 3 and 9. As a consequence, we obtain the [Formula: see text]-dissection of the rank generating function modulo [Formula: see text].… read more here.

Keywords: theta function; mock theta; identity related; rank ... See more keywords