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Record Nr. |
UNINA9910480832903321 |
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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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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , [2020] |
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©2020 |
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ISBN |
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Descrizione fisica |
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1 online resource (92 pages) |
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Collana |
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Memoirs of the American Mathematical Society ; ; volume 263, number 1276 |
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Disciplina |
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Soggetti |
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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 |
Electronic books. |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"January 2020, volume 263, number 1276 (sixth of 7 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references. |
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Nota di contenuto |
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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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