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

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-Schlafli type mixed modular equations.

Authors and Affiliations

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

Keywords

Related Articles

TWO PHASE STRUCTURE OF THE CONDENSATION BOUNDARY LAYER ON AN ACCELERATED PLATE

In this paper, the condensation heat transfer and the structure of the dispersed, two-phase, two-component boundary layer are studied under forced convection condition on a flat plate moving with constant velocity.

A VARIANT OF THE TYPE-1 BETA AND DIRICHLET INTEGRALS

A double integral, which can be taken as an extension of a type-1 beta integral, is introduced and its properties are studied. Than a $k$-variate multiple integral on a unit cube in Euclidean $k$-space is introduced, whi...

COMPUTABLE REPRESENTATION OF ULTRA GAMMA INTEGRAL

A certain integral is there in the literature which some authors call ultra gamma function, some others call it generalized gamma, some others call it Kratzel integral, some others call it inverse Gaussian integral, some...

SOME RECENT ADVANCES IN NUMBER THEORY

1. RSA Algorithm} & -1977 \\ 2. Andrew Wiles-FLT}& -1995 \\ 3. AKS Primality Test} & -2002 \\ 4. Terence-Tao AP \& Primes} & -2006 \\ 5. Yitang Zhang-``Bounded Gaps"} & -2011

ON CONTINUED FRACTIONS AND LAMBERT SERIES

In this paper, we have established certain results involving continued fractions and Lambert series.

Download PDF file
  • EP ID EP178880
  • DOI -
  • Views 87
  • Downloads 0

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), 9-30. https://europub.co.uk/articles/-A-178880