Event time:
Tuesday, April 1, 2014 - 12:30pm to Monday, March 31, 2014 - 8:00pm
Location:
LOM 205
Speaker:
Jennifer Beineke
Speaker affiliation:
Western New England University
Event description:
In a 1927 paper, Oppenheim generalized Voronoi’s summation formula to obtain a representation for $D_a(x) = \sum_{n \le x} \sigma_a(n)$ in terms of Bessel functions. Different applications of Oppenheim summation can be used to provide estimates for moments of the Riemann zeta function. We will describe a smooth version of Oppenheim’s formula, and we will discuss ways in which it can relate Eisenstein series to moments.