Event Type:

Number Theory Seminar

Date/Time:

Tuesday, November 5, 2019 - 16:00 to 16:50

Location:

STAG 112

Guest Speaker:

Institution:

Portland State University

Abstract:

This talk is concerned with mean values of Fourier coefficients of modular forms over polynomials. While much progress has been done in this direction for polynomials of degree at most two, rather little is known beyond that. Here we will present an approach to obtain upper bounds for sums involving polynomials of arbitrary degree. We will also discuss specific examples to illustrate our results.