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Titlebook: Seminaire de Theorie des Nombres, Paris 1989-1990; Sinnou David Book 1992 Birkhäuser Boston 1992

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Estimates for coefficients of ,-functions. III,many characters then a suitable upper bound for . . is true which is considerably better than that resulting from the absolute convergence of the series. In this installment we combine both techniques to give new results and improve on those of [3] when .(.) has an Euler product of degree 3.
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On the hermitian structure of Galois modules in number fields and Adams operations,amely ramified extensions and I will only focus on very recent results since there already exist surveys of related results which I do not include here (see [CN], [E2]). This is why the Main Theorem of this paper is the one between Theorems E and F below...
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,Une remarque à propos des cycles de Hodge de type , ,Dans sa preuve [2] du fait que la notion de cycle de Hodge sur une variété abélienne complexe est absolue (invariante par automorphisme de ℂ), P. Deligne s’appuie sur deux principes:
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