Dedekind sums for a fuchsian group, II

Larry Joel Goldstein
1974 Nagoya mathematical journal  
In [1] we derived a generalization of Kronecker's first limit formula. Our generalization was a limit formula for the Eisenstein series for an arbitrary cusp of a Fuchsian groupΓof the first kind operating on the complex upper half-planeH. In that work, we introduced Dedekind sums associated to the principal congruence subgroupsΓ(N)of the elliptic modular group. The work of our preceding paper suggests a natural question: Is there a generalization of Kronecker's second limit formula to the
more » ... formula to the setting of a general Fuchsian group of the first kind? The answer to this question is the subject of this paper.
doi:10.1017/s0027763000016123 fatcat:76harumd2vh3dfmhbpsgubzz34