Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani.
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Superior document: | Memoirs of the American Mathematical Society ; volume 263, number 1276 |
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Place / Publishing House: | Providence, Rhode Island : : American Mathematical Society,, [2020] 2020 |
Year of Publication: | 2020 |
Language: | English |
Series: | Memoirs of the American Mathematical Society ;
volume 263, number 1276. |
Online Access: | |
Physical Description: | 1 online resource (92 pages). |
Notes: | "January 2020, volume 263, number 1276 (sixth of 7 numbers)." |
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082 | 0 | |a 512.7/3 |2 23 | |
100 | 1 | |a Beresnevich, Victor, |d 1971- |e author. | |
245 | 1 | 0 | |a Sums of reciprocals of fractional parts and multiplicative diophantine approximation / |c Victor Beresnevich, Alan Haynes, Sanju Velani. |
264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2020] | |
264 | 4 | |c 2020 | |
300 | |a 1 online resource (92 pages). | ||
336 | |a text |b txt |2 rdacontent | ||
337 | |a computer |b c |2 rdamedia | ||
338 | |a online resource |b cr |2 rdacarrier | ||
490 | 1 | |a Memoirs of the American Mathematical Society ; |v volume 263, number 1276 | |
500 | |a "January 2020, volume 263, number 1276 (sixth of 7 numbers)." | ||
504 | |a Includes bibliographical references. | ||
505 | 0 | |a 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. | |
588 | |a Description based on print version record. | ||
590 | |a Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. | ||
650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]. |2 msc | |
650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]. |2 msc | |
650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]. |2 msc | |
650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]. |2 msc | |
650 | 7 | |a Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]. |2 msc | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations. |2 msc | |
650 | 0 | |a Continued fractions. | |
650 | 0 | |a Diophantine analysis. | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]. |2 msc | |
650 | 0 | |a Number theory. | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]. |2 msc | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms. |2 msc | |
650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory. |2 msc | |
655 | 4 | |a Electronic books. | |
700 | 1 | |a Haynes, Alan, |d 1980- |e author. | |
700 | 1 | |a Velani, Sanju, |d 1966- |e author. | |
776 | 0 | 8 | |i Print version: |a Beresnevich, Victor, 1971- . |t Sums of reciprocals of fractional parts and multiplicative diophantine approximation. |d Providence, Rhode Island : American Mathematical Society, c2020 |h 92 pages |k Memoirs of the American Mathematical Society ; volume 263, number 1276. |z 9781470440954 |w (DLC) 2020023472 |
797 | 2 | |a ProQuest (Firm) | |
830 | 0 | |a Memoirs of the American Mathematical Society ; |v volume 263, number 1276. | |
856 | 4 | 0 | |u https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=6176740 |z Click to View |