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On Artin’s conjecture for odd 2-dimensional representations. (English) Zbl 0801.00004

Lecture Notes in Mathematics. 1585. Berlin: Springer-Verlag. viii, 148 p. (1994).

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The articles of this volume will be reviewed individually.
Indexed articles:
Kiming, Ian, On the experimental verification of the Artin conjecture for 2-dimensional odd Galois representations over \(\mathbb{Q}\). Liftings of 2-dimensional projective Galois representations over \(\mathbb{Q}\), 1-36 [Zbl 0839.11056]
Basmaji, Jacques; Kiming, Ian, A table of \(A_ 5\)-fields, 37-46 (tables 122-141) [Zbl 0837.11066]
Kinzelbach, Martin, Geometrical construction of 2-dimensional Galois representations of \(A_ 5\)-type. On the realisation of the groups \(PSL_ 2(l)\) as Galois groups over number fields by means of \(l\)-torsion points of elliptic curves, 47-58 [Zbl 0844.11070]
Merel, Loïc, Universal Fourier expansions of modular forms, 59-94 [Zbl 0844.11033]
Wang, Xiangdong, The Hecke operators on the cusp forms of \(\Gamma_ 0(N)\) with nebentype, 95-108 (tables 142-148) [Zbl 0839.11017]
Kiming, Ian; Wang, Xiangdong, Examples of 2-dimensional odd Galois representations of \(A_ 5\)-type over \(\mathbb{Q}\) satisfying the Artin conjecture, 109-121 [Zbl 0841.11065]

MSC:

00B15 Collections of articles of miscellaneous specific interest
11-06 Proceedings, conferences, collections, etc. pertaining to number theory
11F11 Holomorphic modular forms of integral weight
11R42 Zeta functions and \(L\)-functions of number fields
11F70 Representation-theoretic methods; automorphic representations over local and global fields
11Y35 Analytic computations