Somos's theta-function identities of level 10

Belakavadi Radhakrishna Srivatsa Kumar; Devadas Anu Radha

doi:10.3906/mat-1703-51

Somos's theta-function identities of level 10

Belakavadi Radhakrishna Srivatsa Kumar^*, Devadas Anu Radha

^*Corresponding author for this work

Department of Mathematics, Manipal Institute of Technology, Manipal

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

12 Citations (Scopus)

Abstract

Somos discovered about 6277 theta-function identities of different levels using a computer and offered no proof for them, and these identities closely resemble Ramanujan's recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.

Original language	English
Pages (from-to)	763-773
Number of pages	11
Journal	Turkish Journal of Mathematics
Volume	42
Issue number	3
DOIs	https://doi.org/10.3906/mat-1703-51
Publication status	Published - 01-01-2018

All Science Journal Classification (ASJC) codes

General Mathematics

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N2 - Somos discovered about 6277 theta-function identities of different levels using a computer and offered no proof for them, and these identities closely resemble Ramanujan's recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.

AB - Somos discovered about 6277 theta-function identities of different levels using a computer and offered no proof for them, and these identities closely resemble Ramanujan's recordings. The purpose of this paper is to prove some of his theta-function identities of level 10 and to establish certain partition identities for them.

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Somos's theta-function identities of level 10

Abstract

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