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Bernoulli numbers and \(p\)-adic \(L\)-functions. (Nombres de Bernoulli et fonctions \(L\) \(p\)-adiques.) (French) Zbl 0157.10302


MSC:

11B68 Bernoulli and Euler numbers and polynomials
11S40 Zeta functions and \(L\)-functions

References:

[1] [1] , Interpolation p-adique, Bull. Soc. Math. France, t. 92 (1964), p. 117-160. (Thèse Sc. Math. Paris, 1963). · Zbl 0158.30203
[2] [2] , On the class number of a quadratic number fields, Ann of Math., 56 (1952), 479-493. · Zbl 0049.30605
[3] [3] , On the units of algebraic number fields, Mathematika vol. 14, part. 2, déc. 1967, n° 28 pp. 121-124. · Zbl 0171.01105
[4] [4] , Arithmetic properties of generalized, Bernoulli numbers, Journal für die reine und ang. Math., 1959, Band 202, Heft 314. · Zbl 0125.02202
[5] [5] , Nombres de Bernoulli généralisés et fonctions L p-adiques, C.R. Acad. Sc. Paris, t. 263, 337-340. · Zbl 0147.02205
[6] [6] und , Eine p-adishe theorie der Zetawerte ; I Einführung der p-adisher Dirichletschen, L. Funktionen, Journal für die reine und ang. Math., t. 214/215, (1964), 328-339. · Zbl 0186.09103
[7] [7] , Uber eine allgemeine Eigenschaft de rationalen Ent-wickelungskoëfficienten einer bestimmten gattung analytischer Funktionen, J. Für reine und angew. Math., t. 41, (1851), 368-372. · ERAM 041.1136cj
[8] [8] , Eine verallgemeinerung der Bernoullishen Zahlen, Abh. Math. Sem. Univ. Hamburg, t. 22, (1958), 131-140. · Zbl 0080.03002
[9] [9] , Zur Arithmetik in abelschen Zahlkörpern, Journal für die reine und ang. Math., Band 209, Heft 1/2 (1962). · Zbl 0204.07101
[10] [10] , Traité élémentaire des nombres de Bernoulli, Paris, Gauthier-Villars, 1923. · JFM 50.0170.04
[11] [11] , Prolongement analytique uniforme et multiforme dans les corps valués complets. Les tendances géométriques en algèbre et théorie des nombres, n° 143, Colloques internationaux du C.N.R.S. · Zbl 0139.26202
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