Variants of Khintchine's theorem in metric Diophantine approximation
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Number Theory"
DOI: 10.1016/j.jnt.2020.01.005
Abstract: New results towards the Duffin-Schaeffer conjecture, which is a fundamental unsolved problem in metric number theory, have been established recently assuming extra divergence. Given a non-negative function $\psi: \mathbb{N}\to\mathbb{R}$ we denote by $W(\psi)$ the set… read more here.
Keywords: variants khintchine; psi; diophantine approximation; theorem metric ... See more keywords
Phase-space quantum Wiener-Khintchine theorem.
Sign Up to like & getrecommendations! Published in 2022 at "Optics letters"
DOI: 10.1364/ol.467687
Abstract: We derive a quantum version of the classical-optics Wiener-Khintchine theorem within the framework of detection of phase-space displacements with a suitably designed quantum ruler. A phase-space-based quantum mutual coherence function is introduced that includes the… read more here.
Keywords: wiener khintchine; khintchine theorem; quantum; phase space ... See more keywords