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Matematicheskie Zametki, 2019, Volume 106, Issue 6, paper published in the English version journal (Mi mzm12359)  
This article is cited in 1 scientific paper (total in 1 paper)

Papers published in the English version of the journal

New Theta-Function Identities of Level $6$ in the Spirit of Ramanujan

B. R. Srivatsa Kumara, K. R. Rajannab, R. Narendrab

a Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, 576104 India
b Department of Mathematics, Acharya Institute of Technology, Soladevanahalli, Bengaluru, 560107 India
Citations (1)
Abstract: Michael Somos discovered several theta-function identities of various levels by computer and offered no proof for them. These identities highly resemble some of Ramanujan's identities. The main focus of this paper is to prove some of these theta-function identities, in particular those of level $6$ that have been discovered using computational searches. Some of the the Somos identities that we are discussing in this paper cannot be expressed in the form of $P--Q$ type. Furthermore, we establish certain colored partition identities for them.
Keywords: theta-functions, Dedekind $\eta$-function, modular equations, colored partitions.
Funding agency Grant number
Department of Science and Technology, India EMR/2016/001601
The first author thanks the Science and Engineering Research Board, Department of Science and Technology, India, for providing funding through the project [EMR/2016/001601].
Received: 16.02.2019
Revised: 12.05.2019
English version:
Mathematical Notes, 2019, Volume 106, Issue 6, Pages 922–929
DOI: https://doi.org/10.1134/S0001434619110282
Bibliographic databases:
Document Type: Article
Language: English
Citation: B. R. Srivatsa Kumar, K. R. Rajanna, R. Narendra, “New Theta-Function Identities of Level $6$ in the Spirit of Ramanujan”, Math. Notes, 106:6 (2019), 922–929
Citation in format AMSBIB
\Bibitem{SriRajNar19}
\by B.~R.~Srivatsa Kumar, K.~R.~Rajanna, R.~Narendra
\paper New Theta-Function Identities of Level~$6$
in the Spirit of Ramanujan
\jour Math. Notes
\yr 2019
\vol 106
\issue 6
\pages 922--929
\mathnet{http://mi.mathnet.ru/mzm12359}
\crossref{https://doi.org/10.1134/S0001434619110282}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4065581}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000504614300028}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85077046315}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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