Computing the number of certain Galois representations mod p

2010/08/12 by Tommaso Giorgio Centeleghe, Centeleghe, Tommaso Giorgio
Mathematics · #FOS: Mathematics #Number Theory (math.NT) #math.NT

paper · pdf · doi:10.48550/arxiv.1008.2059

28 pages, 3 tables

arxiv created 2010/08/12 · arxiv updated 2010/08/13

Abstract

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≤ 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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