On the tenth-order mock theta functions

Abstract

Using properties of Appell-Lerch functions, we give insightful proofs for six of Ramanujan's identities for the tenth-order mock theta functions.

18 pages. New proofs for identities (2.11) and (2.12)

References in corpus (2)

• Dyson's Ranks and Appell-Lerch Sums
• On the equivalence of two fundamental theta identities

Cited by in corpus (3)

• On Ramanujan's lost notebook and new tenth-order like identities for second-, sixth-, and eighth-order mock theta functions
• On string functions and double-sum formulas
• Splitting Appell functions in terms of single quotients of theta functions