Modeling families of L-functions

Details Modeling families of L-functions Modeling families of L-functions

2005-11-04

arxiv.org/abs/math/0511107v1

Mathematics

Number Theory

Scientific paper

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.

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