[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 ...

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.

Matrices of the representation of the modular group acting on the space of SU(n) level k Kac–Moody algebra character are calculated explicitly. Also, a simple form is obtained for the case k=1, which ...

In his famous “deathbed” letter, Ramanujan “defined” the notion of a mock theta function and offered some examples of functions he believed satisfied his definition. Very recently, Griffin et al.

Abstract: Let f(q) denote Ramanujan's mock theta function It is known that there are many linear congruences for the coefficients of f(q) and other mock theta functions. We prove that if the linear ...

This is a preview. Log in through your library . Abstract A poly-log time method to compute the truncated theta function, its derivatives, and integrals is presented. The method is elementary, ...

We simplify Hitchin's description of SU(2)-invariant self-dual Einstein metrics, making use of the tau-function of related four-pole Schlesinger system.