10
2008.
Euler constants for a Fuchsian group of the first kind
Using an integral representation of the logarithmic derivative of the corresponding Selberg zeta function, we prove Stieltjes-type expressions for higher Euler constants on non-compact hyperbolic Riemann surfaces of finite volume with cusps. New upper and lower bounds are given for the constant term of this logarithmic derivative in a case of interest in Arakelov geometry.