RUS  ENG
Full version
JOURNALS // Matematicheskie Zametki // Archive

Mat. Zametki, 2024 Volume 116, Issue 2, Pages 322–327 (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.

Received: 04.09.2023
Revised: 30.05.2024

Language: English


 English version:
Mathematical Notes, 2024, 116:2, 322–327


© Steklov Math. Inst. of RAS, 2024