Connections between B 2 , χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, II

Jerzy Urbanowicz

Compositio Mathematica (1990)

  • Volume: 75, Issue: 3, page 271-285
  • ISSN: 0010-437X

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Urbanowicz, Jerzy. "Connections between $B_{2,\chi }$ for even quadratic Dirichlet characters $\chi $ and class numbers of appropriate imaginary quadratic fields, II." Compositio Mathematica 75.3 (1990): 271-285. <http://eudml.org/doc/90038>.

@article{Urbanowicz1990,
author = {Urbanowicz, Jerzy},
journal = {Compositio Mathematica},
keywords = {generalized Bernoulli numbers; class numbers; imaginary quadratic fields; Milnor functor ; congruences},
language = {eng},
number = {3},
pages = {271-285},
publisher = {Kluwer Academic Publishers},
title = {Connections between $B_\{2,\chi \}$ for even quadratic Dirichlet characters $\chi $ and class numbers of appropriate imaginary quadratic fields, II},
url = {http://eudml.org/doc/90038},
volume = {75},
year = {1990},
}

TY - JOUR
AU - Urbanowicz, Jerzy
TI - Connections between $B_{2,\chi }$ for even quadratic Dirichlet characters $\chi $ and class numbers of appropriate imaginary quadratic fields, II
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 3
SP - 271
EP - 285
LA - eng
KW - generalized Bernoulli numbers; class numbers; imaginary quadratic fields; Milnor functor ; congruences
UR - http://eudml.org/doc/90038
ER -

References

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  1. [1] B.C. Berndt: Classical theorems on quadratic residues, LEnseign. Math.22 (1976), 261-304. Zbl0337.10031MR441835
  2. [2] G. Gras: Pseudo-mesures p-adiques associées aux fonctions L de Q, Manuscripta Math.57 (1987), 373-415. Zbl0599.12016MR878131
  3. [3] G. Gras: Relations congruentielles linéaires entre nombres de classes de corps quadratiques, Acta Arithm.52 (1989), 147-162. Zbl0618.12004MR1005601
  4. [4] K. Hardy and K.S. Williams: A congruence relating the class numbers of complex quadratic fields, Acta Arithm.47 (1986), 263-276. Zbl0557.12003MR870669
  5. [5] M. Lerch, Essai sur le calcul du nombre des classes de formes quadratiques binaires aux coefficients entiers, Acta Math.29 (1905), 333-424. JFM36.0288.12
  6. [6] T. Nagell, Sur la distribution des nombres qui sont premiers avec un nombre entier donné, Archiv for Math. og Naturvidenskab B.XXXVIII, Nr 2 (1923). JFM48.0132.03
  7. [7] J. Urbanowicz: On the 2-primary part of a conjecture of Birch-Tate, Acta Arithm.43 (1983), 69-81. Zbl0529.12008MR730849
  8. [8] J. Urbanowicz: Connections between B2,χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, I, Compositio Math. 75 (1990), 247-270. Zbl0706.11058

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