On the third moment of {II}: the number field case
Adrian Diaconu
University of Minnesota, Minneapolis, USAIan Whitehead
Swarthmore College, USA
![On the third moment of $L(\frac{1}{2}, \chi_{d})$ {II}: the number field case cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-23-issue-6.png&w=3840&q=90)
Abstract
We establish a smoothed asymptotic formula for the third moment of quadratic Dirichlet -functions at the central value. In addition to the main term, which is known, we prove the existence of a secondary term of size The error term in the asymptotic formula is on the order of for every
Cite this article
Adrian Diaconu, Ian Whitehead, On the third moment of {II}: the number field case. J. Eur. Math. Soc. 23 (2021), no. 6, pp. 2051–2070
DOI 10.4171/JEMS/1049