Modeling families of L-functions
Number Theory
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
We discuss the idea of a ``family of L-functions'' and describe various methods which have been used to make predictions about L-function families. The methods involve a mixture of random matrix theory and heuristics from number theory. Particular attention is paid to families of elliptic curve L-functions. We describe two random matrix models for elliptic curve families: the Independent Model and the Interaction Model.
Keywords
Cite
@article{arxiv.math/0511107,
title = {Modeling families of L-functions},
author = {David W Farmer},
journal= {arXiv preprint arXiv:math/0511107},
year = {2007}
}