Srivatsa Kumar, B R and Sharath, G (2020) Some Somos's theta function identities of level 6 and application to partitions. PUBLICATIONS DE L’INSTITUT MATHÉMATIQUE, 108 (121). pp. 137-144. ISSN 0350-1302
![]() |
PDF
10852.pdf - Published Version Restricted to Registered users only Download (139kB) | Request a copy |
Abstract
M. Somos discovered around 6200 theta function identities using PARI/GP scripts without offering the proof. He runs PARI/GP scripts and it works as a sophisticated programmable calculator. These identities highly resemble those of Ramanujan’s identities. Here we prove a few theta-function identities of level 6 discovered by Somos by using modular equations of degree 3 given by Ramanujan and further we extract some interesting combinatorial interpretations of colored partitions
Item Type: | Article |
---|---|
Subjects: | Engineering > MIT Manipal > Mathematics |
Depositing User: | MIT Library |
Date Deposited: | 29 Oct 2021 06:30 |
Last Modified: | 29 Oct 2021 06:30 |
URI: | http://eprints.manipal.edu/id/eprint/157574 |
Actions (login required)
![]() |
View Item |