Note on the congruence of Ankeny-Artin-Chowla type modulo p²

@article{StanislavJakubec1998,
abstract = {The results of [2] on the congruence of Ankeny-Artin-Chowla type modulo p² for real subfields of $ℚ(ζ_p)$ of a prime degree l is simplified. This is done on the basis of a congruence for the Gauss period (Theorem 1). The results are applied for the quadratic field ℚ(√p), p ≡ 5 (mod 8) (Corollary 1).},
author = {Stanislav Jakubec},
journal = {Acta Arithmetica},
keywords = {cyclic extension; Ankeny-Artin-Chowla congruence; Gaussian period; quadratic field},
language = {eng},
number = {4},
pages = {377-388},
title = {Note on the congruence of Ankeny-Artin-Chowla type modulo p²},
url = {http://eudml.org/doc/207175},
volume = {85},
year = {1998},
}

TY - JOUR
AU - Stanislav Jakubec
TI - Note on the congruence of Ankeny-Artin-Chowla type modulo p²
JO - Acta Arithmetica
PY - 1998
VL - 85
IS - 4
SP - 377
EP - 388
AB - The results of [2] on the congruence of Ankeny-Artin-Chowla type modulo p² for real subfields of $ℚ(ζ_p)$ of a prime degree l is simplified. This is done on the basis of a congruence for the Gauss period (Theorem 1). The results are applied for the quadratic field ℚ(√p), p ≡ 5 (mod 8) (Corollary 1).
LA - eng
KW - cyclic extension; Ankeny-Artin-Chowla congruence; Gaussian period; quadratic field
UR - http://eudml.org/doc/207175
ER -