Autore: |
Beresnevich Victor <1971->
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Titolo: |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani
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Pubblicazione: |
Providence, Rhode Island : , : American Mathematical Society, , [2020] |
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©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] |
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Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71] |
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Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx] |
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Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70] |
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Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15] |
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Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations |
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Continued fractions |
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Diophantine analysis |
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Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50] |
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Number theory |
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Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06] |
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Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms |
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Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory |
Classificazione: |
11K6011J7111A5511J8311J2011J7011K3811J5411K0611K50 |
Persona (resp. second.): |
HaynesAlan <1980-> |
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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.
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Titolo autorizzato: |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation ![Visualizza cluster](img/books.png) |
ISBN: |
1-4704-5660-5 |
Formato: |
Materiale a stampa ![](img/format/mas.png) |
Livello bibliografico |
Monografia |
Lingua di pubblicazione: |
Inglese |
Record Nr.: | 9910794065503321 |
Lo trovi qui: | Univ. Federico II |
Opac: |
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