SOME DEDEKIND η-FUNCTION IDENTITIES GENERATED BY MICHAEL SOMOS AND ITS APPLICATION

Anu Radha Devadas

SOME DEDEKIND η-FUNCTION IDENTITIES GENERATED BY MICHAEL SOMOS AND ITS APPLICATION

Anu Radha Devadas^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

This study involves the new approach to the theta function identities discovered by Michael Somos using PARI/GP scripts and offer no proofs for them. The mentioned identities are analogous to the identities discovered by S. Ramanujan. In this paper, we prove some of these identities of level 10 given by M. Somos concerning η-functions and also we extract the colored partition identities for the same.

Original language	English
Pages (from-to)	46-55
Number of pages	10
Journal	Global and Stochastic Analysis
Volume	12
Issue number	3
Publication status	Published - 05-2025

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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title = "SOME DEDEKIND η-FUNCTION IDENTITIES GENERATED BY MICHAEL SOMOS AND ITS APPLICATION",

abstract = "This study involves the new approach to the theta function identities discovered by Michael Somos using PARI/GP scripts and offer no proofs for them. The mentioned identities are analogous to the identities discovered by S. Ramanujan. In this paper, we prove some of these identities of level 10 given by M. Somos concerning η-functions and also we extract the colored partition identities for the same.",

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AB - This study involves the new approach to the theta function identities discovered by Michael Somos using PARI/GP scripts and offer no proofs for them. The mentioned identities are analogous to the identities discovered by S. Ramanujan. In this paper, we prove some of these identities of level 10 given by M. Somos concerning η-functions and also we extract the colored partition identities for the same.

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M3 - Article

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JO - Global and Stochastic Analysis

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SOME DEDEKIND η-FUNCTION IDENTITIES GENERATED BY MICHAEL SOMOS AND ITS APPLICATION

Abstract

All Science Journal Classification (ASJC) codes

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