15 citations · 33 across the 21 of their papers we have counts for
5 papers · 2 filters
On a Theorem of Ihara
Arash Rastegar
Let be a prime number and let be a positive integer prime to . By an Ihara result we mean existence of an injection with torsion-free cokernel from a full lattice in the…
On Atkin-Lehner correspondences on Siegel spaces
Arash Rastegar
We introduce a higher dimensional Atkin-Lehner theory for Siegel-Parahoric congruence subgroups of . Old Siegel forms are induced by geometric correspondences on Siegel mo…
On Congruences Between Drinfeld Modular Forms
Arash Rastegar
Let denote a finite field of characteristic and let be an effective divisor on the affine line over and let be a point on the affine lin…
Deformation of Outer Representations of Galois Group
Arash Rastegar
To a hyperbolic smooth curve defined over a number-field one naturally associates an "anabelian" representation of the absolute Galois group of the base field landing in outer auto…
Self-Similar Fractals and Arithmetic Dynamics
Arash Rastegar
The concept of self-similarity on subsets of algebraic varieties is defined by considering algebraic endomorphisms of the variety as `similarity' maps. Self-similar fractals are su…