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Author

Beresnevich, Victor, 1971- author.

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

Publication Info.	Providence, Rhode Island : American Mathematical Society, [2020]
	2020

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Copies

Location	Call No.	OPAC Message	Status
Axe ProQuest E-Book	Electronic Book	---	Available

Description	1 online resource (92 pages).
	text txt rdacontent
	computer c rdamedia
	online resource cr rdacarrier
Series	Memoirs of the American Mathematical Society ; volume 263, number 1276
	Memoirs of the American Mathematical Society ; volume 263, number 1276.
Note	"January 2020, volume 263, number 1276 (sixth of 7 numbers)."
Bibliography	Includes bibliographical references.
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.
Note	Description based on print version record.
Subject	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.
Genre/Form	Electronic books.
Added Author	Haynes, Alan, 1980- author.
	Velani, Sanju, 1966- author.
Other Form:	Print version: Beresnevich, Victor, 1971- . Sums of reciprocals of fractional parts and multiplicative diophantine approximation. Providence, Rhode Island : American Mathematical Society, c2020 92 pages Memoirs of the American Mathematical Society ; volume 263, number 1276. 9781470440954 (DLC) 2020023472
ISBN	9781470440954
	9781470456603 (e-book)