PIMS- U of Lethbridge Number Theory and Combinatorics Seminar: Quanli Shen | PIMS - Pacific Institute for the Mathematical Sciences

Topic

The first moment of quadratic twists of modular L-functions

We obtain the asymptotic formula with an error term

O (X^{\frac{1}{2} + ε})

for the smoothed first moment of quadratic twists of modular

L

-functions. The argument is largely based on a recursive method of Young (Acta Arith. 138(1):73–99, 2009 and Sel. Math. (N.S.) 19(2):509–543, 2013).

Talks are usually at noon on Monday. All times are Mountain Time. For meeting details, contact Nathan Ng
Quanli Shen, University of Lethbridge