IEEE

Theta function identities and Ramanujan's Congruences on the partition function

Abstract: A q-difference equation on eight shifted factorials of infinite order will be established. As consequences, we shall systematically explore triple products to give alternative proofs of the ...
Scientific Research Publishing

On Certain Theta Function Identities Analogous to Ramanujan’s P-Q Eta Function Identities ()

[3] B. C. Berndt and L.-C. Zhang, “Ramanujan’s Identities for Eta Functions,” Mathematische Annalen, Vol. 292, No. 1, 1992, pp. 561-573. doi:10.1007/BF01444636 ...
Scientific Research Publishing

N. D. Baruah and R. Barman, “Certain Theta Function Identities and Ramanujan’s Modular Equations of Degree 3,” Indian Journal of Mathematics, Vol. 48, No. 3, 2006, pp ...

ABSTRACT: The purpose of this paper is to provide direct proofs of certain theta function identities analogous to Ramanujan’s P-Q eta functions identities.
PNAS

Holomorphic projections and Ramanujan’s mock theta functions

Mock theta functions were introduced by Ramanujan in 1920. They have become a vivid area of research, and they continue to play important roles in different parts of mathematics and physics. In this ...
Europe PMC

Addition Formula of the Theta Function and Square Sums Theorem

Jacobian theta function identities are related to the Addition formula for the Weierstrass 1 Sigma function. In this paper, from the Addition formula for Weierstrass Sigma function, new and 2 simple ...
Massey University

Senior Tutor in Mathematics-

Cooper, S., & Lam, HY. (2017). Factorizations of theta function identities. New Zealand Journal of Mathematics. 47, 9-21 Retrieved from http://nzjm.math.auckland.ac ...