The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology
Number Theory
2007-05-23 v2
Abstract
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 of holomorphic, even weight, second-order forms. We also establish a cohomological interpretation.
Keywords
Cite
@article{arxiv.math/0411135,
title = {The dimensions of spaces of holomorphic second-order automorphic forms and their cohomology},
author = {Nikolaos Diamantis and Cormac O'Sullivan},
journal= {arXiv preprint arXiv:math/0411135},
year = {2007}
}
Comments
v2. Very minor changes. 35 pages