On The Third Moment Of L(½​, χ_d​) {II}: The Number Field Case

Authors

A. Diaconu
Ian Whitehead, Swarthmore CollegeFollow

Document Type

Article

Publication Date

4-10-2021

Published In

Journal Of The European Mathematical Society

Abstract

We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet L-functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size x^¾. The error term in the asymptotic formula is on the order of O(x^⅔+δ) for every δ > 0.

Keywords

Cubic moment, quadratic Dirichlet $L$-functions, smoothed asymptotic formula, Weyl group multiple Dirichlet series

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Comments

This work is freely available under a Creative Commons license

Recommended Citation

A. Diaconu and Ian Whitehead. (2021). "On The Third Moment Of L(½​, χ_d​) {II}: The Number Field Case". Journal Of The European Mathematical Society. Volume 23, Issue 6. 2051-2070. DOI: 10.4171/JEMS/1049
https://works.swarthmore.edu/fac-math-stat/312