48 citations · 72 across the 13 of their papers we have counts for
10 papers · 1 filter
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…
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…
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…
Magnetic (quasi-)modular forms
Vicenţiu Paşol, Wadim Zudilin
A (folklore?) conjecture states that no holomorphic modular form exists, where , such that its anti-derivative $\sum_…
A study of elliptic gamma function and allies
Vicenţiu Paşol, Wadim Zudilin
We study analytic and arithmetic properties of the elliptic gamma function in the regime …
An algebraic property of Hecke operators and two indefinite theta series
Vicentiu Pasol, Alexandru A. Popa
We prove an algebraic property of the elements defining Hecke operators on period polynomials associated with modular forms, which implies that the pairing on period polynomials co…
On the Petersson scalar product of arbitrary modular forms
Vicentiu Pasol, Alexandru A. Popa
We consider a natural extension of the Petersson scalar product to the entire space of modular forms of integral weight for a finite index subgroup of the modular group. W…
Modular forms and period polynomials
Vicentiu Pasol, Alexandru A. Popa
We study the space of period polynomials associated with modular forms of integral weight for finite index subgroups of the modular group. For the modular group, this space is endo…
Pair correlation of angles between reciprocal geodesics on the modular surface
Florin P. Boca, Vicentiu Pasol, Alexandru A. Popa +1
The existence of the limiting pair correlation for angles between reciprocal geodesics on the modular surface is established. An explicit formula is provided, which captures geomet…
An Eisenstein--Kronecker Modular Symbol and Beilinson--Kato Distributions
Vicentiu Pasol, Vicenţiu Paşol
We construct an Eisenstein-Kronecker modular symbol with values in a completed bigraded quotient of modular forms by Eisenstein series. Its homogeneous finite-level specializations…