Elementary and Analytic Theory of Algebraic Numbers

An analogue of Bauer’s theorem for closed orbits of skew products

“…This shows a close connection with the dynamical version of the Chebotarev's theorem, which we recall below [6]. Moreover, this has the additional advantage that it yields results for homogeneous extensions.…”

The average number of solutions of the Diophantine equation U2+V2=W3and related arithmetic functions

“…(This is most conveniently deduced after the classic example of Apostol [1], Th. 13.7, using the necessary facts about the Dedekind zeta-function from Narkiewicz [8], ch. 7.2.…”

On the structure of the Galois group of the Abelian closure of a number field

“…[14], Ch. 7, § 3), for any m ≥ ν + 1 there exist infinitely many places v of K whose inertia group in…”