Affiliation: University of Illinois
Title Of Talk: Proof of Ramanujan's Second Bessel Function Identity
Abstract: On page 335 in his Lost Notebook, Ramanujan recorded two identities involving a double series of Bessel functions. The first assertion was proved by B. C. Berndt and A. Zaharescu in 2006. In this talk, we establish a proof of the second assertion. We remark that it is connected with the famous divisor problem. We also show that the same method gives another proof of the first assertion.
Last update made Sat Mar 20 20:49:33 EDT 2010.