Note on the jacobi sum
Connection between Schinzel’s conjecture and divisibility of the class number
Note on the congruence of Ankeny-Artin-Chowla type modulo p²
The results of [2] on the congruence of Ankeny-Artin-Chowla type modulo p² for real subfields of 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).
Congruence of Ankeny-Artin-Chowla type modulo p² for cyclic fields of prime degree l
Connection between the Wieferich congruence and divisibility of h⁺
On the class number of some real abelian number fields of prime conductors
On some new estimates for h¯(ℚ(ζₚ))
Note on the cubic residues
Note on the congruences , ,
Criterion for 3 to be eleventh power
Congruence of Ankeny-Artin-Chowla type for cyclic fields
Note on a certain sums of integer parts
Schinzel’s conjecture and divisibility of class number
Computational proof of some theorems on class numbers
Note on the number of solutions of the congruence
An elementary proof of the Davenport-Hasse relation
On divisibility of by the prime
On divisibility of the class number of real octic fields of a prime conductor by
The aim of this paper is to prove the following Theorem Theorem Let be an octic subfield of the field and let be prime. Then divides if and only if divides for some , , , .
A note on normal bases of ideals
On a conjecture concerning sequences of the third order
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