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

Autores/as

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

DOI:

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

Resumen

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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Publicado

2025-01-27

Número

Sección

Research Articles

Cómo citar

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