Combinatorics of some fifth and sixth order mock theta functions

Meenakshi Rana; Shruti Sharma

doi:10.3934/era.2020092

ScienceGate Book Chapters

JOURNAL ARTICLE

Combinatorics of some fifth and sixth order mock theta functions

Meenakshi Rana Shruti Sharma

Year: 2020 Journal: Electronic Research Archive Vol: 29 (1)Pages: 1803-1818 Publisher: American Institute of Mathematical Sciences

DOI: 10.3934/era.2020092

Get Full-Text PDF Get Analytical Report

Abstract

<p style='text-indent:20px;'>The goal of this paper is to provide a new combinatorial meaning to two fifth order and four sixth order mock theta functions. Lattice paths of Agarwal and Bressoud with certain modifications are used as a tool to study these functions.</p>

Keywords:

Order (exchange) Combinatorics Mathematics Lattice (music) Ramanujan theta function Meaning (existential) Algebra over a field Discrete mathematics Pure mathematics Physics Psychology

Metrics

Cited By

0.46

FWCI (Field Weighted Citation Impact)

Refs

0.65

Citation Normalized Percentile

Is in top 1%

Is in top 10%

Citation History

Topics

Advanced Mathematical Identities

Physical Sciences → Mathematics → Algebra and Number Theory

Advanced Combinatorial Mathematics

Physical Sciences → Mathematics → Discrete Mathematics and Combinatorics

Analytic Number Theory Research

Physical Sciences → Mathematics → Algebra and Number Theory

Combinatorics of some fifth and sixth order mock theta functions

Abstract

Metrics

Citation History

Topics

Related Documents

Sixth Order Mock Theta Functions

Sixth order mock theta functions

Combinatorics of tenth-order mock theta functions

Combinatorics of two second-order mock theta functions

Combinatorics of two second-order mock theta functions