6 papers
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 b…
On the geometry of punctual Hilbert schemes on singular curves and their motivic zeta functions
Mounir Hajli, Hussein Mourtada, Wenhao Zhu
Inspired by the work of Soma and Watari, we define a tree structure on certain subsemimodules of the semigroup associated with an irreducible plane curve singularity .…
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 .
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…
The arithmetic volume of hypersurfaces in toric varieties and Mahler measures
Mounir Hajli
In this paper we determine the canonical arithmetic volume of hypersurfaces in smooth projective toric varieties. As a consequence, we prove a generalized Hodge index theorem on hy…