Abstract

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 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.

Full Text
Published version (Free)

Talk to us

Join us for a 30 min session where you can share your feedback and ask us any queries you have

Schedule a call