4 citations · 6 across the 13 of their papers we have counts for
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General Stirling-Ramanujan Constants are exponential periods and applications
Mounir Hajli, Ricardo Perez-Marco
For , Stirling-Ramanujan constants are the Ramanujan summation of the divergent series . These constants are exponential periods over the e…
Arithmetic theta invariants and arithmetic equilibrium measures
Mounir Hajli
We introduce two new arithmetic invariants associated with Hermitian line bundles on arithmetic varieties, which play the role of the Bergman distortion function in the arithmetic…
Regularized Products over arithmetic Schemes
Mounir Hajli
In this paper, we study the closed points of arithmetic schemes. We accomplish this by showing that the product of the cardinals of residue fields of closed points in an arithmetic…
Theta invariants and Lattice-Point Counting in Normed -Modules
Mounir Hajli
Euclidean lattices occupy a central position in number theory, the geometry of numbers, and modern cryptography. In the present article, the theory of Euclidean lattices is employe…
Toward a generalization of Lehmer's problem to adelic curves
Mounir Hajli
In this short note, we investigate the generalization of Lehmer's problem to finitely generated fields over .
On the regularized products of some Dirichlet series
Mounir Hajli
In this paper, we show that the regularized determinants of some Dirichlet series are multiplicative. As an application, we give generalizations of Lerch's formula for the classica…
On the normalized arithmetic Hilbert function
Mounir Hajli
Let be a subvariety of dimension n of the projective space over , and the normalized arithmetic Hilbert function of introduced by Phi…