L-functions and higher order modular forms

Details L-functions and higher order modular forms L-functions and higher order modular forms

2006-01-07

arxiv.org/abs/math/0601143v1

Mathematics

Number Theory

12 pages. LaTeX

Scientific paper

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.

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