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Matematicheskie Zametki, 2024, Volume 116, Issue 2, paper published in the English version journal (Mi mzm14469)  
Papers published in the English version of the journal

On the Derivatives of Eta Quotients of Level Eighteen

P. Nagendraa, E. N. Bhuvanb, P. Divyanandaa

a Department of Studies in Mathematics Manasagangothri campus, University of Mysore, India
b Department of Mathematics, The National Institute of Engineering, Mysuru, Karnataka, India
Abstract: Z. S. Aygin and P. C. Toh have developed a technique using the theory of modular forms to determine all the eta quotients whose derivative is also an eta quotient up to level 36. The aim of the present paper is to develop a theory for level 18 eta quotient identities and derive all the identities of Aygin and Toh of level 18 by using this theory.
Keywords: Eisenstein series, Dedekind eta function, eta quotient.
Funding agency Grant number
Council of Scientific and Industrial Research 09/119(0224)/2021-EMR-I
The research of the first author is supported by grant no. 09/119(0224)/2021-EMR-I (with ref. no. 16/06/2019(i)EU-V) by the funding agency CSIR, INDIA, under CSIR-JRF. The author is grateful to the funding agency.
Received: 04.09.2023
Revised: 30.05.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 2, Pages 322–327
DOI: https://doi.org/10.1134/S0001434624070253
Bibliographic databases:
Document Type: Article
Language: English
Citation: P. Nagendra, E. N. Bhuvan, P. Divyananda, “On the Derivatives of Eta Quotients of Level Eighteen”, Math. Notes, 116:2 (2024), 322–327
Citation in format AMSBIB
\Bibitem{PraNalDiv24}
\by P.~Nagendra, E.~N.~Bhuvan, P.~Divyananda
\paper On the Derivatives of Eta Quotients of Level Eighteen
\jour Math. Notes
\yr 2024
\vol 116
\issue 2
\pages 322--327
\mathnet{http://mi.mathnet.ru/mzm14469}
\crossref{https://doi.org/10.1134/S0001434624070253}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85207167710}
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