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Refinement of Tate's discriminant bound and non-existence theorems for mod \(p\) Galois representations

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Publication:1419623
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zbMath1135.11319MaRDI QIDQ1419623

Hyunsuk Moon, Yuichiro Taguchi

Publication date: 19 January 2004

Published in: Documenta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/128787

zbMATH Keywords

discriminantMod \(p\) Galois representation


Mathematics Subject Classification ID

Galois representations (11F80) Langlands-Weil conjectures, nonabelian class field theory (11R39)


Related Items

On mod 3 Galois representations with conductor 4, Companion forms and explicit computation of \(\mathrm{PGL}_2\) number fields with very little ramification, Certification of modular Galois representations, Remarks on Serre's modularity conjecture, On zeta functions of modular representations of a discrete group., The non-existence of certain mod 2 Galois representations of some small quadratic fields, On the computation of coefficients of modular forms: The reduction modulo $p$ approach, The nonexistence of certain representations of the absolute Galois group of quadratic fields



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