@article{Schein2021SystolicLO,
title={Systolic length of triangular modular curves},
author={Michael M. Schein and Amir Shoan},
journal={Journal of Number Theory},
year={2021}
}

In this article, we study geometric aspects of semi-arithmetic Riemann surfaces by means of number theory and hyperbolic geometry. First, we show the existence of infinitely many semi-arithmetic… Expand

We apply a study of orders in quaternion algebras, to the differential geometry of Riemann surfaces. The least length of a closed geodesic on a hyperbolic surface is called its systole, and denoted… Expand

I describe Riemann surfaces of constant curvature −1 with the property that the length of its shortest simple closed geodesic is maximal with respect to an open neighborhood in the corresponding… Expand

We construct certain subgroups of hyperbolic triangle groups which we call \congruence" subgroups. These groups include the classical congruence subgroups of SL2(Z), Hecke triangle groups, and 19… Expand

Mathematical Proceedings of the Cambridge Philosophical Society

1979

Abstract In this paper, a new family of factors of (2, 3, 7) is obtained which contains groups found in three other papers. It is shown that for all n, there exists an m such that there are at least… Expand

The the arithmetic of hyperbolic 3 manifolds is universally compatible with any devices to read and available in the book collection an online access to it is set as public so you can download it instantly.Expand