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

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Bibliographic Details
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.
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Physical Description:1 online resource (92 pages).
Notes:"January 2020, volume 263, number 1276 (sixth of 7 numbers)."
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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