Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani

• Autore: Beresnevich Victor <1971->
• Pubblicazione: Providence, Rhode Island : , : American Mathematical Society, , [2020]; ©2020
• Descrizione fisica: 1 online resource (92 pages)
• Disciplina: 512.7/3
• Soggetto topico: Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]; Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]; Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]; Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]; Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]; Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations; Continued fractions; Diophantine analysis; Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]; Number theory; Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]; Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms; Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory
• Soggetto genere / forma: Electronic books.
• Persona (resp. second.): HaynesAlan <1980->; VelaniSanju <1966->
• Note generali: "January 2020, volume 263, number 1276 (sixth of 7 numbers)."
• Nota di bibliografia: Includes bibliographical references.
• Nota di contenuto: Sums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1.
• Titolo autorizzato: Sums of reciprocals of fractional parts and multiplicative diophantine approximation
• ISBN: 1-4704-5660-5
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910480832903321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; volume 263, number 1276.