A Shifted Sum for the Congruent Number Problem

Autor: Hulse, Thomas A., Kuan, Chan Ieong, Lowry-Duda, David, Walker, Alexander
Rok vydání: 2018
Předmět:
Druh dokumentu: Working Paper
Popis: We introduce a shifted convolution sum that is parametrized by the squarefree natural number $t$. The asymptotic growth of this series depends explicitly on whether or not $t$ is a \emph{congruent number}, an integer that is the area of a rational right triangle. This series presents a new avenue of inquiry for The Congruent Number Problem.
Databáze: arXiv