Note on the congruence of Ankeny-Artin-Chowla type modulo p²
Volume 85 / 1998
Acta Arithmetica 85 (1998), 377-388
DOI: 10.4064/aa-85-4-377-388
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).
