Rational quartic reciprocity II
Acta Arithmetica (1997)
- Volume: 80, Issue: 3, page 273-288
- ISSN: 0065-1036
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topFranz Lemmermeyer. "Rational quartic reciprocity II." Acta Arithmetica 80.3 (1997): 273-288. <http://eudml.org/doc/207042>.
@article{FranzLemmermeyer1997,
author = {Franz Lemmermeyer},
journal = {Acta Arithmetica},
keywords = {quadratic form; biquadratic field; quartic rational reciprocity law},
language = {eng},
number = {3},
pages = {273-288},
title = {Rational quartic reciprocity II},
url = {http://eudml.org/doc/207042},
volume = {80},
year = {1997},
}
TY - JOUR
AU - Franz Lemmermeyer
TI - Rational quartic reciprocity II
JO - Acta Arithmetica
PY - 1997
VL - 80
IS - 3
SP - 273
EP - 288
LA - eng
KW - quadratic form; biquadratic field; quartic rational reciprocity law
UR - http://eudml.org/doc/207042
ER -
References
top- [1] Y. Furuta, Norms of units of quadratic fields, J. Math. Soc. Japan 11 (1959), 139-145.
- [2] P. Kaplan, Sur le 2-groupe des classes d'idéaux des corps quadratiques, J. Reine Angew. Math. 283/284 (1974), 313-363. Zbl0337.12003
- [3] F. Lemmermeyer, Rational quartic reciprocity, Acta Arith. 67 (1994), 387-390. Zbl0833.11049
- [4] F. Lemmermeyer, The 4-class group of real quadratic number fields, submitted. Zbl1294.11190
- [5] A. Scholz, Über die Lösbarkeit der Gleichung t² - Du² = -4, Math. Z. 39 (1934), 95-111. Zbl0009.29402
- [6] L. Washington, Introduction to Cyclotomic Fields, Grad. Texts in Math. 83, Springer, 1982.
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