Littlewood and Duffin-Schaeffer-Type Problems in Diophantine Approximation

Sam Chow, Niclas Technau (Autoren)

Buch | Softcover

74 Seiten

2024
American Mathematical Society (Verlag)
978-1-4704-6879-8 (ISBN)

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Gallagher’s theorem describes the multiplicative diophantine approximation rate of a typical vector. We establish a fully inhomogeneous version of Gallagher’s theorem, a diophantine fibre refinement, and a sharp and unexpected threshold for Liouville fibres.

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Sam Chow, University of Warwick, Coventry, United Kingdom, and Niclas Technau, Max Planck Institute for Mathematics, Bonn, Germany.

1. Introduction
2. Preliminaries
3. A fully inhomogeneous version of Gallagher's theorem
4. Liouville fibres
5. Obstructions on Liouville fibres
A. Pathology

Erscheinungsdatum	04.06.2024
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Gewicht	272 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie
ISBN-10	1-4704-6879-4 / 1470468794
ISBN-13	978-1-4704-6879-8 / 9781470468798
Zustand	Neuware