3 papers
math.NT2026
Quartic Rational Diophantine Quadruples and the Euler Surface
Alen Andrašek, Matija Kazalicki, Domagoj Vlah
We prove that there exist infinitely many quartic rational Diophantine quadruples, that is, sets of four pairwise distinct nonzero rational numbers whose pairwise products increase…
cs.LG2026
AE-ViT: Stable Long-Horizon Parametric Partial Differential Equations Modeling
Iva Mikuš, Boris Muha, Domagoj Vlah
Deep Learning Reduced Order Models (ROMs) are becoming increasingly popular as surrogate models for parametric partial differential equations (PDEs) due to their ability to handle…
math.NT2025
Improving elliptic curve rank classification using multi-value and learned Mestre-Nagao sums
Zvonimir BujanoviÄ, 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…