Room 209, School of Arts and Sciences
Central Campus
In this talk, we will present our recent results on a generalization of the Mordell-Tornheim zeta function, in particular, the two- and three-term functional equations that it satisfies. This function is intimately connected with a new extension of the Herglotz-Zagier function F(x), whose special values and functional equations coming from Hecke operators were recently obtained by Radchenko and Zagier. One of our results on this extension not only gives the well-known two-term functional equation of F(x) as a special case but also those of Ishibashi functions, which were unknown for about twenty years. Some interesting results on integrals involving logarithm and/or arctangent, and related to the generalized Mordell-Tornheim zeta function will also be given. This is joint work with Atul Dixit and N. Guru Sharan.
Sumukha is a postdoctoral fellow at IIT Gandhinagar, before which he did his PhD at NIT Surathkal. His broad area of research is number theory, specifically in analytic number theory, modular forms, and special functions.
