Shifted convolutions and a conjecture by Mazur, Rubin and Stein
arXiv:1807.02506
summary
The authors prove a conjecture of Mazur, Rubin, and Stein that predicts the behavior of certain averages of modular symbols, using techniques involving shifted convolution sums.
Abstract
In this paper, a conjecture of Mazur, Rubin and Stein concerning certain averages of modular symbols is proved.
Topics & keywords
#modular symbols#shifted convolution sums#automorphic forms#L-functions#arithmetic conjecturesMazur-Rubin-Stein conjecturemodular symbolsshifted convolutionsanalytic number theoryautomorphic L-functions