On the computation of Galois representations associated to level one modular forms

Autor:	Bosman, Johan
Rok vydání:	2007
Předmět:	Mathematics - Number Theory 11Y40 (Primary) 11F80 (Secondary)
Druh dokumentu:	Working Paper
Popis:	In this paper we explicitly compute mod-l Galois representations associated to modular forms. To be precise, we look at cases with l<=23 and the modular forms considered will be cusp forms of level 1 and weight up to 22. We present the result in terms of polynomials associated to the projectivised representations. As an application, we will improve a known result on Lehmer's non-vanishing conjecture for Ramanujan's tau function. Comment: 15 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0710.1237 Zobrazit plný text záznamu View this record from Arxiv