On the generalized Bernoulli numbers that belong to unequal characters.

Título inglés	On the generalized Bernoulli numbers that belong to unequal characters.
Título español	Sobre los números de Bernoulli generalizados que pertenecen a caracteres desiguales.
Autor/es	Slavutskii, Ilya Sh.
Organización	Cent. Absorpt. Sci., Jerusalén, Israel
Revista	0213-2230
Publicación	2000, 16 (3): 459-475, 29 Ref.
Tipo de documento	articulo
Idioma	Inglés
Resumen inglés	The study of class number invariants of absolute abelian fields, the investigation of congruences for special values of L-functions, Fourier coefficients of half-integral weight modular forms, Rubin's congruences involving the special values of L-functions of elliptic curves with complex multiplication, and many other problems require congruence properties of the generalized Bernoulli numbers (see [16]-[18], [12], [29], [3], etc.). The first steps in this direction can be found in the papers of H. W. Leopoldt (see [15]) and L. Carlitz (see [5]). For further studies, see [22], [24], [29]. This paper presents some new examples extending both old author's results and recent investigations of H. Lang (see [14]), A. Balog , H. Darmon, K. Ono (see [3]), etc. On the whole the proved results are consequence of congruences connecting the generalized Bernoulli numbers that belong to unequal characters.
Clasificación UNESCO	120504
Palabras clave español	Números de Bernoulli ; Congruencia
Código MathReviews	MR1813325
Código Z-Math	Zbl 0965.11006
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