**Speaker:** Anwoy Maitra

**Date:** 21st August 2018

**Time:** 9:15pm – 10:15pm

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

**Abstract:**

In this talk, I will outline a proof of the Weierstrass Factorisation Theorem. This theorem, which deals with the factorisation of an entire function into a product of possibly infinitely many factors, is a cornerstone of one-variable complex analysis. Closely associated to this theorem is another fundamental theorem that assures us of the existence of holomorphic functions on arbitrary regions having zeros at prescribed points with prescribed multiplicities. These theorems have interesting applications to analytic function theory and, in particular, can be used to derive Wallis’s product formula for pi.

**Prerequisites:** Basics of complex analysis.

**Area: **Complex Analysis

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