PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Sergei Tabachnikov.

Title:Ramanujan’s Master Theorem, Then and Now
Seminar:Department of Mathematics Colloquium
Speaker:Kenneth Gross, University of Vermont
Abstract:
This talk is dedicated to my dear friend and colleague Donald Richards, with admiration for his distinguished scientific career and his exemplary human values. Abstract: Nearly a century ago Ramanujan stated a theorem in real variables which he used to evaluate previously unknown definite integrals and develop new series expansions. Because of his extensive use of this result, it is known as Ramanujan’s Master Theorem. Ramanujan’s “proof” of this theorem was illuminating but inadequate, and much later G.H. Hardy gave a rigorous proof based on techniques of complex variables which were unknown to Ramanujan at the time of his discovery. In this talk – which is expository and designed to be accessible to faculty, graduate students, and undergraduate mathematics majors – we will explore Ramanujan’s Master Theorem from its classical origins to its modern group theoretic interpretation and noncommutative higher dimensional generalizations.

Room Reservation Information

Room Number:MB114
Date:11 / 04 / 2010
Time:04:00pm - 05:00pm