On arithmetic Fuchsian groups and their characterizations
This is a small survey paper about connections between the arithmetic and geometric properties in the case of arithmetic Fuchsian groups.
On Dirichlet series and Hecke triangle groups of infinite volume
On Hsiao's conjecture on Hecke groups.
On modular units.
On rapid generation of .
On the congruence-subgroup problem for some anisotropic algebraic groups over number fields.
On the existence of cusp forms over function fields.
On the Generating Functions of Certain Eisenstein Series.
On the infinite volume Hecke surfaces
On the invariants of the Hecke groups
On the number of subgroups of given index in the modular group.
On the principal congruence subgroups of the Hecke-group .
On the proof of Humbert's volume formula.
On the subgroups of the Picard group.
On the Theta Constant of Genus 8 and Hilbert Modular Groups over Certain Cyclic Biquadratic Fields.
On volumes of arithmetic quotients of
We apply G. Prasad’s volume formula for the arithmetic quotients of semi-simple groups and Bruhat-Tits theory to study the covolumes of arithmetic subgroups of . As a result we prove that for any even dimension there exists a unique compact arithmetic hyperbolic -orbifold of the smallest volume. We give a formula for the Euler-Poincaré characteristic of the orbifolds and present an explicit description of their fundamental groups as the stabilizers of certain lattices in quadratic spaces. We...