On independence of the relations of epimorphy and embeddability on the variety of all lattices.

Pinus, A.G.; Mordvinov, Ya.L.

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

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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).