Somos's theta-function identities of level 10

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4 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 languageEnglish
Pages (from-to)763-773
Number of pages11
JournalTurkish Journal of Mathematics
Volume42
Issue number3
DOIs
Publication statusPublished - 01-01-2018

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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