3 papers
math.GR2004
Counting congruence subroups
D. Goldfeld, A. Lubotzky, L. Pyber
Let denote the modular group and the number of congruence subgroups of of index at most . We prove that $\lim\limits_{n\to \infty} \frac{\log C_n…
math.NT2001
Multiple Dirichlet series and moments of zeta and L-functions
Adrian Diaconu, Dorian Goldfeld, Jeffrey Hoffstein
This paper develops an analytic theory of Dirichlet series in several complex variables which possess sufficiently many functional equations. In the first two sections it is shown…
math.NT2000
Eisenstein series twisted by modular symbols for the group SL(n)
Dorian Goldfeld, Paul E. Gunnells
We define Eisenstein series twisted by modular symbols on the group SL(n), generalizing a construction of the first author. We show that, in the case of series attached to the mini…