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On the $n$ -torsion subgroup of the Brauer group of a number field

Hershy Kisilevsky; Jack Sonn — 2003

Journal de théorie des nombres de Bordeaux

Given a number field $K$ Galois over the rational field $ℚ$ , and a positive integer $n$ prime to the class number of $K$ , there exists an abelian extension $L / K$ (of exponent $n$ ) such that the $n$ -torsion subgroup of the Brauer group of $K$ is equal to the relative Brauer group of $L / K$ .

On the exponent of the ideal class groups of imaginary extensions of $_{q} (x)$

Hershy Kisilevsky; Francesco Pappalardi — 1995

Acta Arithmetica

Chebotarev sets

Hershy Kisilevsky; Michael O. Rubinstein — 2015

Acta Arithmetica

We consider the problem of determining whether a set of primes, or, more generally, prime ideals in a number field, can be realized as a finite union of residue classes, or of Frobenius conjugacy classes. We give necessary conditions for a set to be realized in this manner, and show that the subset of primes consisting of every other prime cannot be expressed in this way, even if we allow a finite number of exceptions.

On the vanishing of twisted $L$ -functions of elliptic curves.

David, Chantal; Fearnley, Jack; Kisilevsky, Hershy — 2004

Experimental Mathematics

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Currently displaying 1 – 4 of 4

On the n -torsion subgroup of the Brauer group of a number field

On the exponent of the ideal class groups of imaginary extensions of q ( x )

Chebotarev sets

On the vanishing of twisted L -functions of elliptic curves.

On the $n$ -torsion subgroup of the Brauer group of a number field

On the exponent of the ideal class groups of imaginary extensions of $_{q} (x)$

On the vanishing of twisted $L$ -functions of elliptic curves.