2 papers
math.NT2004
The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
Nikolaos Diamantis, Cormac O'Sullivan
Second-order automorphic forms are similar to the usual automorphic forms but have a weaker automorphy condition. We answer a question of Zagier and find the dimensions of spaces o…
math.NT2004
Convolution Dirichlet series and a Kronecker limit formula for second-order Eisenstein series
Jay Jorgenson, Cormac O'Sullivan
The classical Kronecker limit formula gives the constant term of the non-holomorphic Eisenstein series E(z,s) for SL(2,Z) at s=1 in terms of the Dedekind eta function. Here we comp…