Аннотация:
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.
Ключевые слова:Eisenstein series, Dedekind eta function, eta quotient.
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.
Образец цитирования:
P. Nagendra, E. N. Bhuvan, P. Divyananda, “On the Derivatives of Eta Quotients of Level Eighteen”, Math. Notes, 116:2 (2024), 322–327