Scott AhlgrenAffiliation: University of Illinois Email: sahlgren@illinois.edu Title Of Talk: Kloosterman sums and Maass cusp forms of half integral weight for the modular group URL: http://www.math.uiuc.edu/~ahlgren/research/research.html Abstract: Kloosterman sums appear in many areas of number theory. We estimate sums of Kloosterman sums of halfintegral weight on the modular group. Our estimates are uniform in all parameters in analogy with Sarnak and Tsimerman's improvement of Kuznetsov's bound for the ordinary Kloosterman sums. As an application, we obtain an improved estimate for the classical problem of estimating the size of the error term in Rademacher's famous formula for the partition function. This is joint work with Nick Andersen.
Last update made Mon Feb 8 11:29:49 PST 2016.
