CERTAIN NEW MODULAR EQUATIONS OF MIXED DEGREE IN THE THEORY OF SIGNATURE 3

Khaled A. A. Alloush; K. R. Rajanna; M. Manjunath

Khaled A. A. Alloush Department of Mathematics King Saud University, Riyadh-12373, SAUDI ARABIA

K. R. Rajanna Department of Mathematics Acharya Institute of Technology, Soldevanahalli, Chikkabanavara (Post), Hesaragatta Main Road, Bangalore-560090, INDIA.

M. Manjunath Department of Mathematics, P E S College of Science, Mandya, INDIA.

Volume 5, Issue 2 Pages 09-30 December 31, 2016 263 downloads

Article overview

Abstract

In this paper, we establish certain new modular equations of mixed degree in the theory of signature 3, which are analogous to the Ramanujan-Russell type modular equation and the Ramanujan-Schl¨afli type mixed modular equations.

Keywords and Phrases

Theta-functionmodular equations.

AMS Subject Classification

11B65, 33D10, 11F27.

Reference information

How to Cite

Khaled A. A. Alloush, K. R. Rajanna, M. Manjunath (2016). CERTAIN NEW MODULAR EQUATIONS OF MIXED DEGREE IN THE THEORY OF SIGNATURE 3. Journal of Ramanujan Society of Mathematics and Mathematical Sciences, 5(2), 09-30.

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