48 citations · 72 across the 13 of their papers we have counts for
Showing 2026 · math.NTShow all
3 papers · 2 filters
math.NT2026
On the second moment and non-vanishing of central values of Hecke -functions of -th order characters
Adrian Diaconu, Bogdan Ion, Vicenţiu Paşol +1
In this paper, we establish asymptotic formulas for the first and second twisted moments of -th order Hecke -functions over global fields that contain the -th roots of un…
math.NT2026
Transversal Difference Numbers in Finite Abelian Quotients
Mugurel Barcau, Vicenţiu Paşol, George C. Ţurcaş
Given \(H\leq G\) finite abelian groups, a transversal \(T\subseteq G\) for \(G/H\) has fixed size \(|G/H|\), but its ambient difference support \(D(T)=T-T\) can vary with the embe…
math.NT2026
Logarithmic Density of Rank and Rank Genus-2 Jacobians and Applications to Hyperelliptic Curve Cryptography
Razvan Barbulescu, Mugurel Barcau, Vicentiu Pasol +1
In this work we study quantitative existence results for genus- curves over whose Jacobians have Mordell--Weil rank at least or , ordering the curves by the…