# On the generalized Bernoulli numbers that belong to unequal characters.

Revista Matemática Iberoamericana (2000)

- Volume: 16, Issue: 3, page 459-475
- ISSN: 0213-2230

## Access Full Article

top## Abstract

top## How to cite

topSlavutskii, Ilya Sh.. "On the generalized Bernoulli numbers that belong to unequal characters.." Revista Matemática Iberoamericana 16.3 (2000): 459-475. <http://eudml.org/doc/39614>.

@article{Slavutskii2000,

abstract = {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.},

author = {Slavutskii, Ilya Sh.},

journal = {Revista Matemática Iberoamericana},

keywords = {Números de Bernoulli; Congruencia; generalized Bernoulli numbers; von Staudt's type congruences},

language = {eng},

number = {3},

pages = {459-475},

title = {On the generalized Bernoulli numbers that belong to unequal characters.},

url = {http://eudml.org/doc/39614},

volume = {16},

year = {2000},

}

TY - JOUR

AU - Slavutskii, Ilya Sh.

TI - On the generalized Bernoulli numbers that belong to unequal characters.

JO - Revista Matemática Iberoamericana

PY - 2000

VL - 16

IS - 3

SP - 459

EP - 475

AB - 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.

LA - eng

KW - Números de Bernoulli; Congruencia; generalized Bernoulli numbers; von Staudt's type congruences

UR - http://eudml.org/doc/39614

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.