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Littlewood and Duffin-Schaeffer-Type problems in diophantine approximation / Sam Chow, Niclas Technau.
Math/Physics/Astronomy Library QA3 .A57 no.1475
Available
- Format:
- Book
- Author/Creator:
- Chow, Sam, author.
- Technau, Niclas, author.
- Series:
- Memoirs of the American Mathematical Society ; v. 1475.
- Memoirs of the American Mathematical Society, 0065-9266 ; no. 1475
- Language:
- English
- Subjects (All):
- Diophantine approximation.
- Physical Description:
- v, 74 pages ; 26 cm
- Place of Publication:
- Providence, RI : American Mathematical Society, 2024.
- Summary:
- 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. Along the way, we prove an inhomogeneous version of the Duffin-Schaeffer conjecture for a class of nonmonotonic approximation functions. - Provided by publisher
- Notes:
- Includes bibliographic references (pages 71-74).
- ISBN:
- 1470468794
- 9781470468798
- OCLC:
- 1432711851
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