Murmurations of Mestre–Nagao sums
Murmurations of Mestre–Nagao sums
This paper investigates the detection of the rank of elliptic curves with ranks 0 and 1, employing a heuristic known as the Mestre–Nagao sum [Formula: see text] where [Formula: see text] is defined as [Formula: see text] for an elliptic curve [Formula: see text] with good reduction at prime [Formula: …