Computing the number of certain Galois representations mod $p$

Details Computing the number of certain Galois representations mod $p$ Computing the number of certain Galois representations mod $p$

2010-08-12

arxiv.org/abs/1008.2059v1

Mathematics

Number Theory

28 pages, 3 tables

Scientific paper

Using the link between mod $p$ Galois representations of $\qu$ and mod $p$
modular forms established by Serre's Conjecture, we compute, for every prime
$p\leq 1999$, a lower bound for the number of isomorphism classes of continuous
Galois representation of $\qu$ on a two--dimensional vector space over $\fbar$
which are irreducible, odd, and unramified outside $p$.

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