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math.NT2025
A distribution related to Farey sequences -- II
Maxim A. Korolev
This version corrects minor inaccuracies and missprints. One drawing is changed. We continue to study some arithmetical properties of Farey sequences by the method introduced by F.…
math.NT2025
A distribution related to Farey sequences -- I
Maxim A. Korolev
Minor corrections to previous version. We study some arithmetical properties of Farey sequences by the method introduced by F.Boca, C.Cobeli and A.Zaharescu (2001). Let be…
math.NT2013★ 6 cited
On the number of integral quadratic polynomials with bounded heights and discriminants
F. Götze, D. Kaliada, M. Korolev
In the paper we obtain the asymtotic number of integral quadratic polynomials with bounded heights and discriminants as the upper bound of heights tends to infinity.