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

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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

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