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On the Derivatives of Eta Quotients of Level Eighteen

  • P. Nagendra,
  • E. N. Bhuvan,
  • P. Divyananda

摘要

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.