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

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 نشر من قبل Johan Bosman
 تاريخ النشر 2007
  مجال البحث
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 تأليف Johan Bosman




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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 Lehmers non-vanishing conjecture for Ramanujans tau function.



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