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math.DG2026
On the coefficients of the asymptotic of analytic torsion
Mounir Hajli
In this article, we study the asymptotic expansion of the analytic torsion associated with positive Hermitian line bundles on projective spaces. We show that the expansion contains…
math.NT2026
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…
math.NT2026
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…