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

Jerzy Urbanowicz

Compositio Mathematica (1990)

  • Volume: 75, Issue: 3, page 247-270
  • 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, I." Compositio Mathematica 75.3 (1990): 247-270. <http://eudml.org/doc/90037>.

@article{Urbanowicz1990,
author = {Urbanowicz, Jerzy},
journal = {Compositio Mathematica},
keywords = {Birch-Tate conjecture; congruences; Milnor functor ; second generalized Bernoulli numbers; quadratic Dirichlet characters; class numbers; imaginary quadratic fields},
language = {eng},
number = {3},
pages = {247-270},
publisher = {Kluwer Academic Publishers},
title = {Connections between $B_\{2,\chi \}$ for even quadratic Dirichlet characters $\chi $ and class numbers of appropriate imaginary quadratic fields, I},
url = {http://eudml.org/doc/90037},
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, I
JO - Compositio Mathematica
PY - 1990
PB - Kluwer Academic Publishers
VL - 75
IS - 3
SP - 247
EP - 270
LA - eng
KW - Birch-Tate conjecture; congruences; Milnor functor ; second generalized Bernoulli numbers; quadratic Dirichlet characters; class numbers; imaginary quadratic fields
UR - http://eudml.org/doc/90037
ER -

References

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  1. [1] G. Gras: Pseudo-mesures p-adiques associees aux fonctions L de Q, Manuscripta Math.57 (1987), 373-415. Zbl0599.12016MR878131
  2. [2] K. Kramer and A. Candiotti: On the 2-Sylow subgroup of the Hilbert kernel of K2 of number fields, Acta Arithm.52 (1989), 49-65. Zbl0705.19005MR1005155
  3. [3] 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
  4. [4] B. Mazur and A. Wiles: Class fields of abelian extensions of Q, Invent. Math.76 (1984), 179-330. Zbl0545.12005MR742853
  5. [5] J. Urbanowicz: On the 2-primary part of a conjecture of Birch-Tate, Acta Arithm.43 (1983), 69-81. Zbl0529.12008MR730849
  6. [6] L.C. Washington: Introduction to cyclotomic fields, Springer Verlag, New York-Heidelberg -Berlin1982. Zbl0484.12001MR718674

Citations in EuDML Documents

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  1. Jerzy Urbanowicz, On diophantine equations involving sums of powers with quadratic characters as coefficients, I
  2. Jerzy Urbanowicz, Connections between B 2 , χ for even quadratic Dirichlet characters χ and class numbers of appropriate imaginary quadratic fields, II
  3. Jerzy Urbanowicz, On diophantine equations involving sums of powers with quadratic characters as coefficients, II
  4. Janusz Szmidt, Jerzy Urbanowicz, Don Zagier, Congruences among generalized Bernoulli numbers

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