3 papers
math.NT2025
Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums
Zvonimir Bujanović, Matija Kazalicki, Domagoj Vlah
Determining the rank of an elliptic curve E/Q remains a central challenge in number theory. Heuristics such as Mestre--Nagao sums are widely used to estimate ranks, but there is co…
math.NA2024
Subspace embedding with random Khatri-Rao products and its application to eigensolvers
Zvonimir Bujanović, Luka Grubišić, Daniel Kressner +1
Various iterative eigenvalue solvers have been developed to compute parts of the spectrum for a large sparse matrix, including the power method, Krylov subspace methods, contour in…
math.NT2024
Murmurations of Mestre-Nagao sums
Zvonimir Bujanović, Matija Kazalicki, Lukas Novak
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 \[ S(B) = \frac{1}{\log{B}} \sum_{\subs…