A NOTE ON DEDEKIND η-FUNCTION IDENTITIES OF LEVEL 14 GIVEN BY SOMOS

D. Anu Radha; B. R. Srivatsa Kumar; N. V. Sayinath Udupa

A NOTE ON DEDEKIND η-FUNCTION IDENTITIES OF LEVEL 14 GIVEN BY SOMOS

D. Anu Radha
, B. R. Srivatsa Kumar
, N. V. Sayinath Udupa^*

^*Corresponding author for this work

Manipal Institute of Technology, Manipal

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

2 Citations (Scopus)

Abstract

Recently Vasuki and Veeresha were able to prove Dedekind η-function identities of level 14 conjectured by Somos. In this paper, we show how these Somos’s identities are the consequence of Ramanujan’s modular equations of degree 7. Also, in their paper authors are using a known multiplier to prove Somos’s identities and we explained the method of obtaining that multiplier in this paper.

Original language	English
Pages (from-to)	131-137
Number of pages	7
Journal	Global and Stochastic Analysis
Volume	11
Issue number	1
Publication status	Published - 01-2024

All Science Journal Classification (ASJC) codes

Statistics and Probability
Discrete Mathematics and Combinatorics

Cite this

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abstract = "Recently Vasuki and Veeresha were able to prove Dedekind η-function identities of level 14 conjectured by Somos. In this paper, we show how these Somos{\textquoteright}s identities are the consequence of Ramanujan{\textquoteright}s modular equations of degree 7. Also, in their paper authors are using a known multiplier to prove Somos{\textquoteright}s identities and we explained the method of obtaining that multiplier in this paper.",

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AU - Sayinath Udupa, N. V.

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N2 - Recently Vasuki and Veeresha were able to prove Dedekind η-function identities of level 14 conjectured by Somos. In this paper, we show how these Somos’s identities are the consequence of Ramanujan’s modular equations of degree 7. Also, in their paper authors are using a known multiplier to prove Somos’s identities and we explained the method of obtaining that multiplier in this paper.

AB - Recently Vasuki and Veeresha were able to prove Dedekind η-function identities of level 14 conjectured by Somos. In this paper, we show how these Somos’s identities are the consequence of Ramanujan’s modular equations of degree 7. Also, in their paper authors are using a known multiplier to prove Somos’s identities and we explained the method of obtaining that multiplier in this paper.

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JO - Global and Stochastic Analysis

JF - Global and Stochastic Analysis

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A NOTE ON DEDEKIND η-FUNCTION IDENTITIES OF LEVEL 14 GIVEN BY SOMOS

Abstract

All Science Journal Classification (ASJC) codes

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