NEW THEOREMS ON THETA-FUNCTION ANALOGUES AND EXPLICIT EVALUATIONS OF RAMANUJAN'S REMARKABLE PRODUCT

Dr. Vasanth Kumar S.

doi:10.5269/bspm.64393

NEW THEOREMS ON THETA-FUNCTION ANALOGUES AND EXPLICIT EVALUATIONS OF RAMANUJAN'S REMARKABLE PRODUCT

Authors

Dr. Vasanth Kumar S. Associate Professor, Department of Mathematics, Seshadripuram Institute of Technology, Mysuru, India.

DOI:

https://doi.org/10.5269/bspm.64393

Abstract

We define Vm,n in this article by using Ramanujan's product of theta-functions
psi(-q) and f(-q^2), which are analogues to Ramanujan's amazing product of
theta-functions. For explicit evaluations of Vm,n, we prove general theorems.

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Published

2025-01-27

Issue

Vol. 43 (2025)

Section

Research Articles

License

When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).

The journal utilize the Creative Common Attribution (CC-BY 4.0).

How to Cite

Kumar S., D. V. (2025). NEW THEOREMS ON THETA-FUNCTION ANALOGUES AND EXPLICIT EVALUATIONS OF RAMANUJAN’S REMARKABLE PRODUCT. Boletim Da Sociedade Paranaense De Matemática, 43, 1-9. https://doi.org/10.5269/bspm.64393