Some identities of the sums-of-tails type

Abstract: A new sums-of-tails identity involving two parameters b and d is obtained and is used to derive more results of similar type. One of Ramanujan’s sums-of-tails identities from the Lost Notebook is shown to be a special case of our result. In the course of deriving Ramanujan’s identity, we obtain a new result of combinatorial significance. Two new representations for an infinite series associated to a mock theta function are derived. Also, we give an application of an identity of Andrews and Onofri. This talk is based on joint work with Prof. Atul Dixit and Aviral Srivastava.

number theory

Audience: researchers in the topic

Combinatorial and additive number theory seminar (CANT 2026)