THE NON-EXISTENCE OF CERTAIN MOD p GALOIS REPRESENTATIONS

Title & Authors
THE NON-EXISTENCE OF CERTAIN MOD p GALOIS REPRESENTATIONS
Moon, Hyunsuk;

Abstract
The non-existence is proved of continuous irreducible representations p : Gal(Q/Q) \longrightarrow GL$\small{_2}$(F$\small{_{p}}$) with Artin conductor N outside p for a few small values of p and N.N.
Keywords
mod p Galois representation;Serre`s conjecture;class field theory;Odlyzko`s bound;
Language
English
Cited by
1.
On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields,;;

Kyungpook mathematical journal, 2008. vol.48. 2, pp.323-330
1.
On the Finiteness and Non-Existence of Certain Mod 2 Galois Representations of Quadratic Fields, Kyungpook mathematical journal, 2008, 48, 2, 323
2.
2-ADIC PROPERTIES OF CERTAIN MODULAR FORMS AND THEIR APPLICATIONS TO ARITHMETIC FUNCTIONS, International Journal of Number Theory, 2005, 01, 01, 75
References
1.
Duke. Math. J., vol.112. pp.521-579

2.
Duke. Math. J., vol.105. pp.1-24

3.
J. Number Theory, vol.75. pp.47-52

4.
Linear Groups,

5.
Tables of number fields with prescribed ramification,

6.
Discriminant bounds, tables dated Nov.29,

7.
Seminaire Delange-Pisot-Poitou, vol.18. 6,

8.
Euvres, vol.Ⅲ. pp.710

9.
Duke Math. J., vol.54. pp.179-230

10.
Amer. Math. Soc.,

11.
Contemp. Math., vol.174. pp.153-156