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On the second moment and non-vanishing of central values of Hecke -functions of -th order characters
Adrian Diaconu, Bogdan Ion, VicenÅ£iu PaÅol +1
The paper derives asymptotic formulas for the first and second twisted moments of r‑th order Hecke L‑functions over global fields containing the 2r‑th roots of unity, and uses thes…
Transversal Difference Numbers in Finite Abelian Quotients
Mugurel Barcau, VicenÅ£iu PaÅol, George C. Å¢urcaÅ
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…
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…