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010 a| 2020023472;

020 a| 9781470440954q| (paperback);

020 z| 9781470456610q| (ebook);

035 a| (WaSeSS)ssj0002325192;

042 a| pcc;

049 a| EREEa| NEHH;

050 00 a| QA242b| .B53 2020;

082 00 a| 512.7/32| 23;

084 a| 11K60a| 11J71a| 11A55a| 11J83a| 11J20a| 11J70a| 11K38a| 11J54a| 11K06a| 11K502| msc;

100 1 a| Beresnevich, Victor,d| 1971-=| ^A611929;

245 10 a| Sums of reciprocals of fractional parts and multiplicative diophantine approximationh| [electronic resource] /c| Victor Beresnevich, Alan Haynes, Sanju Velani.;

260 a| Providence, RI :b| American Mathematical Society,c| [2020];

300 a| vii, 77 pages ;c| 26 cm;

490 0 a| Memoirs of the American Mathematical Society,x| 0065-9266 ;v| number 1276;

500 a| "January 2020, volume 263, number 1276 (sixth of 7 numbers).";

504 a| Includes bibliographical references (pages 75-77).;

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.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Diophantine analysis.=| ^A60840;

650 0 a| Continued fractions.=| ^A128028;

650 0 a| Number theory.=| ^A22877;

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 -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06].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] -- Metric theory.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] -- Continued fractions and generalizations [See also 11A55, 11K50].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 -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations.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 -- Metric theory of continued fractions [See also 11A55, 11J70].2| msc;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Haynes, Alan,d| 1980-?| UNAUTHORIZED;

700 1 a| Velani, Sanju,d| 1966-=| ^A611931;

856 40 z| Full text available from Ebook Central - Academic Completeu| https://ebookcentral.proquest.com/lib/eastcarolina/detail.action?docID=6176740;

856 40 z| Full text available from Memoirs of the American Mathematical Societyu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Fwww.ams.org%2Fbooks%2Fmemo%2F1276;

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

Author/creator	Beresnevich, Victor, 1971-
Other author	Haynes, Alan, 1980-
Other author	Velani, Sanju, 1966-
Format	Electronic
Publication Info	Providence, RI : American Mathematical Society, [2020]
Description	vii, 77 pages ; 26 cm
Supplemental Content	Full text available from Ebook Central - Academic Complete
Supplemental Content	Full text available from Memoirs of the American Mathematical Society
Subjects	Diophantine analysis. Continued fractions. Number theory.

Series	Memoirs of the American Mathematical Society, 0065-9266 ; number 1276
Contents	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.
General note	"January 2020, volume 263, number 1276 (sixth of 7 numbers)."
Bibliography note	Includes bibliographical references (pages 75-77).
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2020023472
ISBN	9781470440954 (paperback)
ISBN	(ebook)

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

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