On the generalized Bernoulli numbers that belong to unequal characters.

Slavutskii, 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 -