Some identities on modular equations of degree 5

Author:

Anu Radha1,Srivatsa Kumar Belakavadi Radhakrishna1

Affiliation:

1. Department of Mathematics, Manipal Institute of Technology, Manipal Academy of Higher Education, Manipal, India

Abstract

Ramanujan devoted more space for modular equations than any other topic and documented several identities. Motivated by his work, in this paper we establish five modular equations of composite degrees.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference26 articles.

1. C. Adiga, M. S. M. Naika, K. Shivashankara, On some P-Q eta-function identities of Ramanujan, Indian J. Math. 44(3) (2002), 253-267.

2. C. Adiga, T. Kim, M. S. M. Naika, Modular equations in the theory of signature 3 and P-Q identities, Adv. Stud. Contemp. Math. 7 (2003), 33-40.

3. C. Adiga, T. Kim, M. S. M. Naika, H. S. Madhusudhan, On Ramanujan's cubic continued fraction and explicit evaluations of theta-functions, Indian J. Pure Appl. Math. 35(9) (2004), 1047-1062.

4. C. Adiga, N. A. S. Bulkhali, D. Ranganatha, H. M. Srivastava, Some new modular relations for the Rogers-Ramanujan type functions of order eleven with applications to partitions, J. Number Theory 158 (2016), 281-297.

5. C. Adiga, N. A. S. Bulkhali, Y. Simsek, H. M. Srivastava, A continued fraction of Ramanujan and some Ramanujan-Weber lass invariants, Filomat 31(13) (2017), 3975-3997.

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