Affiliation: University of llinois
Title Of Talk: Transformation formulas associated with integrals involving the Riemann Xi function
Abstract: Page 220 of Ramanujan's Lost Notebook contains a beautiful transformation formula involving the digamma function which is also associated with an integral involving the Riemann Xi function. Here we discuss some new transformation formulas of this type, of which one generalizes the above-mentioned formula of Ramanujan. Also included are new extensions of formulas of N.S. Koshliakov, A.P. Guinand and W.L. Ferrar. The interesting history behind some of these formulas will also be discussed. The talk will conclude with some open problems in this area.
Last update made Fri Mar 5 18:38:44 EST 2010.