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Serre, Jean-Pierre

Quelques applications du théorème de densité de Chebotarev. (French) Zbl 0496.12011

Publ. Math., Inst. Hautes Étud. Sci. 54, 123-202 (1981).
Reviewer: David Goss (Columbus/Ohio)
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Cited in 19 Reviews
Cited in 220 Documents

MathOverflow Questions:

Lacunary weight one modular forms

MSC:

11R45 Density theorems
11R39 Langlands-Weil conjectures, nonabelian class field theory
14H52 Elliptic curves
14G99 Arithmetic problems in algebraic geometry; Diophantine geometry
11S37 Langlands-Weil conjectures, nonabelian class field theory
11F11 Holomorphic modular forms of integral weight
14K15 Arithmetic ground fields for abelian varieties

Keywords:

Chebotarev density; infinite Galois extension; generalized Riemann hypothesis; modular form; elliptic curve without complex multiplication; l-adic representation

Citations:

Zbl 0363.10015
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Full Text: DOI Numdam EuDML

References:

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