The explicit formulae and evaluations of Ramanujan's remarkable product of theta-functions

DOI10.11650/tjm/190706zbMath1443.11045OpenAlexW2965541517MaRDI QIDQ2200903

Kumar Ranjith Kumar, D. J. Prabhakaran

Publication date: 23 September 2020

Published in: Taiwanese Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.twjm/1589875218

zbMATH Keywords

modular equationclass invariantsremarkable product of theta-function

Mathematics Subject Classification ID

Theta functions and abelian varieties (14K25) Theta series; Weil representation; theta correspondences (11F27) Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Dedekind eta function, Dedekind sums (11F20)

Cites Work

• On some new general theorems for the explicit evaluations of Ramanujan's remarkable product of theta-functions
• On certain identities for ratios of theta-functions and some new modular equations of mixed degree
• Ramanujan's remarkable product of theta-functions
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