Séminaire de théorie des nombres, Paris, France, 1989-90 (Q1189429)

The articles of this volume will be reviewed individually. Indexed articles: \textit{André, Yves}, Une remarque à propos des cycles de Hodge de type CM. (Remark on Hodge cycles of CM-type), 1-7 [Zbl 0782.14003] \textit{Ash, Avner}, Galois representations and cohomology of \(\mathrm{GL}(n,\mathbb{Z})\), 9-22 [Zbl 0754.11016] \textit{Blasius, Don}, Modular forms and abelian varieties, 23-30 [Zbl 0744.11033] \textit{Carpentier, Michel}, Sommes de Kloosterman généralisées: L'équation fonctionnelle. (Generalized Kloosterman sums: The functional equation), 31-51 [Zbl 0764.11047] \textit{Erez, Boas}, On the hermitian structure of Galois modules in number fields and Adams operations, 53-69 [Zbl 0756.11036] \textit{Heath-Brown, D. R.}, Searching for solutions of \(x^ 3+y^ 3+z^ 3=k\), 71-76 [Zbl 0745.11023] \textit{Hellegouarch, Yves}, Une généralisation d'un théorème de Terjanian. (A generalization of a theorem of Terjanian), 77-92 [Zbl 0747.11012] \textit{Huxley, M. N.}, Integer points in a domain with smooth boundary, 93-111 [Zbl 0742.11046] \textit{Duke, W.; Iwaniec, H.}, Estimates for coefficients of \(L\)-functions. III, 113-120 [Zbl 0763.11024] \textit{Jannsen, Uwe}, Principe de Hasse cohomologique. (Cohomological Hasse principle), 121-140 [Zbl 0745.11053] \textit{Jaulent, Jean-François; Michel, A.}, Classes des corps surcirculaires et des corps de fonctions. (Classes of supercyclotomic fields and function fields), 141-162 [Zbl 0751.11052] \textit{Li, Wen-Ch'ing Winnie}, Ideal class groups and Galois modules, 163-176 [Zbl 0756.11034] \textit{Mauduit, C.}, Propriétés arithmétiques des substitutions. (Arithmetic properties of substitutions), 177-190 [Zbl 0741.11016] \textit{Miyake, Katsuya}, Galois theoretic local-global relations in nilpotent extensions of algebraic number fields, 191-207 [Zbl 0744.11055] \textit{Robert, Gilles}, La racine 12-ième canonique de \(\Delta{}(L)^{[\underline L:L]}/\Delta{}({\underline L})\). (Canonical 12th root of \(\Delta{}(L)^{[\underline L:L]}/\Delta{}({\underline L})\)), 209-232 [Zbl 0751.11025] \textit{Wu, Jie}, \(P_ 2\) dans les petits intervalles. (\(P_ 2\) in short intervals), 233-267 [Zbl 0743.11050]