Blar i Publikasjoner fra CRIStin - NTNU på forfatter "Zafeiropoulos, Agamemnon"
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FULLY INHOMOGENEOUS MULTIPLICATIVE DIOPHANTINE APPROXIMATION OF BADLY APPROXIMABLE NUMBERS
Chow, Sam; Zafeiropoulos, Agamemnon (Journal article; Peer reviewed, 2021)We establish a strong form of Littlewood's conjecture with inhomogeneous shifts, for a full-dimensional set of pairs of badly approximable numbers on a vertical line. We also prove a uniform assertion of this nature, ... -
On the order of magnitude of Sudler products II
Grepstad, Sigrid; Neumüller, Mario; Zafeiropoulos, Agamemnon (Peer reviewed; Journal article, 2022)We study the asymptotic behavior of Sudler products PN(α)=∏Nr=12∣∣sinπrα∣∣ for quadratic irrationals α∈R. In particular, we verify the convergence of certain perturbed Sudler products along subsequences, and show that ...