One page in Ramanujan's lost notebook is devoted to claims about a certain integral with two parameters. One claim gives an inversion formula for the integral that is similar to the transformation formula for theta functions. Other claims are remindful of Gauss sums. In this paper we prove all the claims made by Ramanujan about this integral.
|Original language||English (US)|
|Number of pages||9|
|Journal||Mathematical Proceedings of the Cambridge Philosophical Society|
|State||Published - Sep 2009|
ASJC Scopus subject areas