Geodesic
Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations
Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 641-654.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Non-existence is proved of certain continuous irreducible mod $p$ representations of degree 2 of the absolute Galois group of the rational number field. This extends previously known results, the improvement based on a refinement of Tate's discriminant bound.
Classification : 11F80, 11R39
Keywords: Mod $p$ Galois representation, discriminant 
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     author = {Moon, Hyunsuk and Taguchi, Yuichiro},
     title = {Refinement of {Tate's} discriminant bound and non-existence theorems for mod $p$ {Galois} representations},
     journal = {Documenta mathematica},
     pages = {641--654},
     publisher = {mathdoc},
     volume = {Kazuya Kato's Fiftieth Birthday},
     year = {2003},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a6/}
}
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Moon, Hyunsuk; Taguchi, Yuichiro. Refinement of Tate's discriminant bound and non-existence theorems for mod $p$ Galois representations. Documenta mathematica, Kazuya Kato's Fiftieth Birthday (2003), pp. 641-654. http://geodesic.mathdoc.fr/item/DOCMA_2003__S6__a6/