11 citations · 11 across the 3 of their papers we have counts for
3 papers
math.NT2008★ 11 cited
Parabolic, hyperbolic and elliptic Poincaré series
Özlem Imamoglu, Cormac O'Sullivan
Following Petersson, we study the parabolic, hyperbolic and elliptic expansions of holomorphic cusp forms and the associated Poincaré series. We show how these ideas extend to the…
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…