L-functions and higher order modular forms
Number Theory
2007-05-23 v1
Abstract
It is believed that Dirichlet series with a functional equation and Euler product of a particular form are associated to holomorphic newforms on a Hecke congruence group. We perform computer algebra experiments which find that in certain cases one can associate a kind of ``higher order modular form'' to such Dirichlet series. This suggests a possible approach to a proof of the conjecture.
Cite
@article{arxiv.math/0601143,
title = {L-functions and higher order modular forms},
author = {David W. Farmer and Sarah Zubairy},
journal= {arXiv preprint arXiv:math/0601143},
year = {2007}
}
Comments
12 pages. LaTeX