On certain Somos’s theta function identities of level 14 and their application to colored partition

Shruthi, . and Kumar, Srivatsa B R (2021) On certain Somos’s theta function identities of level 14 and their application to colored partition. Italian Journal of Pure and Applied Mathematics (46). pp. 706-713. ISSN 1126-8042

[img] PDF
13884.pdf - Published Version
Restricted to Registered users only

Download (152kB) | Request a copy

Abstract

M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. In this paper, we give a new proof of Somos’s theta function identities of level 14 using modular equation of degree 7 and further we extract some interesting combinatorial interpretations of colored partitions

Item Type: Article
Uncontrolled Keywords: theta functions, modular equation, partitions.
Subjects: Engineering > MIT Manipal > Mathematics
Depositing User: MIT Library
Date Deposited: 20 Jan 2022 05:55
Last Modified: 20 Jan 2022 05:55
URI: http://eprints.manipal.edu/id/eprint/158072

Actions (login required)

View Item View Item