**Speaker**: K. Hariram

**Date**: 27th February 2018 (Tuesday)

**Time**: 09:15 pm-10:15 pm

**Venue**: Lecture Hall I, Department of Mathematics

**Abstract**: The sin function is an example of a periodic complex function. In this talk, we will explore the space of doubly periodic functions of a complex variable, i.e., the space of all f:ℂ→ ℂ such that f(z) = f(z+ω_{1}) = f(z+ω_{2}) ∀z∈ℂ, for two “real”ly independent periods ω_{1}, ω_{2} ∈ℂ. Finally, by letting one of these periods go to infinity, we get a method to extract values of the Riemann ζ function.

**Prerequisites**: Complex Analysis

**Area**: Functions of One Complex Variable

**References**:

- Introduction to Elliptic Curves and Modular Forms, by Neal Koblitz.