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Table of contents for this issue | Previous article Serre, Jean-Pierre Quelques applications du théorème de densité de Chebotarev. Publications Mathématiques de l'IHÉS, 54 (1981), p. 123-201 Full text djvu | pdf | Reviews MR 83k:12011 | Zbl 0496.12011 | 12 citations in Numdam stable URL: http://www.numdam.org/item?id=PMIHES_1981__54__123_0 Bibliography [2] N. BOURBAKI, Variétés différentielles et analytiques. Fascicule de résultats, Paris, Hermann, [3] N. BOURBAKI, Groupes et Algèbres de Lie, chapitre II : « Algèbres de Lie libres » ; chapitre III : « Groupes de Lie », Paris, Hermann, [4] S. CHOWLA, On the least prime in an arithmetic progression, J. Indian Math. Soc., 1 ( [5] R. DEDEKIND, Über die Diskriminanten endlicher Körper, Gött. Abh., 29 ( [6] R. DEDEKIND, Vorlesungen über Zahlentheorie von P. G. Lejeune-Dirichlet, 4e éd., Braunschweig, [7] P. DELIGNE, Formes modulaires et représentations ℓ-adiques, Sém. Bourbaki 1968-1969, exposé 355, Lecture Notes in Math., 179, Springer-Verlag, Numdam | Zbl 0206.49901 [8] P. DELIGNE, La conjecture de Weil, I, Publ. Math. I.H.E.S., 43 ( Numdam | MR 49 #5013 | Zbl 0287.14001 [9] P. DELIGNE et J.-P. SERRE, Formes modulaires de poids 1, Ann. Sci. E.N.S., 4e série, 7 ( Numdam | MR 52 #284 | Zbl 0321.10026 [10] J. DIEUDONNÉ et A. GROTHENDIECK, Critères différentiels de régularité pour les localisés des algèbres analytiques, J. of Algebra, 5 ( [11] H. FEDERER, Geometric Measure Theory, Berlin, Springer-Verlag, [12] G. F. FROBENIUS, Über Beziehungen zwischen den Primidealen eines algebraischen Körpers und den Substitutionen seiner Gruppe, Sitz. Akad. Berlin ( [13] G. H. HARDY et J. E. LITTLEWOOD, Tauberian theorems concerning power series and Dirichlet series whose coefficients are positive, Proc. London Math. Soc., 2e série, 13 ( [14] G. H. HARDY et J. E. LITTLEWOOD, Some theorems concerning Dirichlet series, Messenger of Math., 43 ( [15] K. HENSEL, Über die Entwicklung der algebraischen Zahlen in Potenzreihen, Math. Ann., 55 ( Article | JFM 32.0208.01 [16] H. HIRONAKA, Resolution of singularities of an algebraic variety over a field of characteristic zero, Ann. of Math., 79 ( [17] J. IGUSA, Complex Powers and Asymptotic Expansions II, J. Crelle, 278-279 ( [18] J. IGUSA, Some observations on higher degree characters, Amer. J. of Math., 99 ( [19] N. IWAHORI et H. MATSUMOTO, Several remarks on projective representations of finite groups, J. Fac. Sci. Univ. Tokyo, 10 ( [20] H. D. KLOOSTERMAN, Asymptotische Formeln für die Fourierkoeffizienten ganzer Modulformen, Hamb. Abh., 5 ( [21] M. I. KNOPP et J. LEHNER, Gaps in the Fourier series of automorphic forms (à paraître). Zbl 0473.10022 [22] J. C. LAGARIAS, H. L. MONTGOMERY et A. M. ODLYZKO, A Bound for the Least Prime Ideal in the Chebotarev Density Theorem, Invent. Math., 54 ( Article | MR 81b:12013 | Zbl 0401.12014 [23] J. C. LAGARIAS et A. M. ODLYZKO, Effective Versions of the Chebotarev Density Theorem, Algebraic Number Fields (A. Fröhlich edit.), New York, Academic Press, [24] S. LANG et H. TROTTER, Frobenius Distributions in GL2-Extensions, Lect. Notes in Math., 504, Springer-Verlag, [25] R. P. LANGLANDS, Automorphic representations, Shimura varieties and motives. Ein Märchen, Proc. Symp. Pure Math., 33, Amer. Math. Soc., [26] M. LAZARD, Groupes analytiques p-adiques, Publ. Math. I.H.E.S., 26 ( Numdam | MR 35 #188 | Zbl 0139.02302 [27] W. LI, Newforms and Functional Equations, Math. Ann., 212 ( Article | MR 51 #5498 | Zbl 0278.10026 [28] B. MAZUR, Modular curves and the Eisenstein ideal, Publ. Math. I.H.E.S., 47 ( Numdam | MR 80c:14015 | Zbl 0394.14008 [29] B. MAZUR, Rational Isogenies of Prime Degree, Invent. Math., 44 ( Article | MR 80h:14022 | Zbl 0386.14009 [30] J. ŒSTERLÉ, Versions effectives du théorème de Chebotarev sous l'hypothèse de Riemann généralisée, Astérisque, 61 ( [31] A. OGG, Abelian curves of 2-power conductor, Proc. Camb. Phil. Soc., 62 ( [32] R. RANKIN, Contribution to the theory of Ramanujan's function τ(n) and similar arithmetical functions, I, II, Proc. Camb. Phil. Soc., 35 ( [33] K. RIBET, Galois Representations attached to Eigenforms with Nebentypus, Lect. Notes in Math., 601, Springer-Verlag, [34] P. ROBBA, Lemmes de Schwarz et lemmes d'approximations p-adiques en plusieurs variables, Invent. Math., 48 ( Article | MR 80e:32021 | Zbl 0392.12020 [35] I. ŠAFAREVIČ, Corps de nombres algébriques (en russe), Proc. Int. Congr. Math., Stockholm ( [36] L. SCHŒNFELD, Sharper Bounds for the Chebyshev Functions θ(x) and ѱ(x), II, Math. of Comp., 30 ( [37] S. SEN, Ramification in p-adic Lie Extensions, Invent. Math., 17 ( Article | MR 47 #8490 | Zbl 0242.12012 [38] J.-P. SERRE, Corps locaux, Paris, Hermann, [39] J.-P. SERRE, Classification des variétés analytiques p-adiques compactes, Topology, 3 ( [40] J.-P. SERRE, Abelian ℓ-adic representations and elliptic curves, New York, Benjamin Publ., [41] J.-P. SERRE, Propriétés galoisiennes des points d'ordre fini des courbes elliptiques, Invent. Math., 15 ( Article | MR 52 #8126 | Zbl 0235.14012 [42] J.-P. SERRE, Divisibilité de certaines fonctions arithmétiques, L'Ens. Math., 22 ( [43] J.-P. SERRE, Modular forms of weight one and Galois representations, Algebraic Number Theory (A. Fröhlich edit.), New York, Academic Press, [44] G. SHIMURA, Introduction to the arithmetic theory of automorphic functions, Publ. Math. Soc. Japan, vol. II, Princeton Univ. Press, [45] H. STARK, Some effective cases of the Brauer-Siegel theorem, Invent. Math., 23 ( Article | MR 49 #7218 | Zbl 0278.12005 [46] H. P. F. SWINNERTON-DYER, On ℓ-adic representations and congruences for coefficients of modular forms, Lecture Notes in Math., 350, Springer-Verlag, [47] N. TSCHEBOTAREFF, Die Bestimmung der Dichtigkeit einer Menge von Primzahlen, welche zu einer gegebenen Substitutionsklasse gehören, Math. Ann., 95 ( Article | JFM 51.0149.04 [48] A. WEIL, Zeta-functions and Mellin transforms, Proc. Bombay Coll. on Alg. Geometry, Bombay, Tata Institute, [49] H. WEYL, On the volume of tubes, Amer. J. of Math., 61 ( [50] E. WIRSING, Das asymptotische Verhalten von Summen über multiplikative Funktionen, Math. Ann., 143 ( Article | MR 24 #A1241 | Zbl 0104.04201 |
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