Author : Arihant Jain
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (139 download)
Book Synopsis Moments of Cubic Hecke L-Functions by : Arihant Jain
Download or read book Moments of Cubic Hecke L-Functions written by Arihant Jain and published by . This book was released on 2021 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Moments of families of L-functions provide understanding of their size and also about their distribution. The aim of this thesis is to calculate the asymptotics of the first moment of L-functions associated to primitive cubic Hecke characters over $Q(\omega)$ and upper bounds for 2k-th moments for the same family. Both of these results assume Generalized Riemann Hypothesis. We consider the full family of characters which results in a main term of order x log x. We also calculate conditional upper bounds for 2k-th moments for the same family and conclude that there ” x primitive characters of conductor at most x for which the L-function doesn't vanish at the central point.