001371703 000__ 04257nam\a2200637\i\4500 001371703 001__ 1371703 001371703 003__ MiAaPQ 001371703 005__ 20210807004232.0 001371703 006__ m\\\\\o\\d\\\\\\\\ 001371703 007__ cr\cn\nnnunnun 001371703 008__ 200818s2020\\\\riu\\\\\ob\\\\000\0\eng\d 001371703 020__ $$z9781470440954 001371703 020__ $$a9781470456603 (e-book) 001371703 035__ $$a(MiAaPQ)EBC6176740 001371703 035__ $$a(Au-PeEL)EBL6176740 001371703 035__ $$a(OCoLC)1151201164 001371703 040__ $$aMiAaPQ$$beng$$erda$$epn$$cMiAaPQ$$dMiAaPQ 001371703 050_4 $$aQA242$$b.B474 2020 001371703 0820_ $$a512.7/3$$223 001371703 1001_ $$aBeresnevich, Victor,$$d1971-$$eauthor. 001371703 24510 $$aSums of reciprocals of fractional parts and multiplicative diophantine approximation /$$cVictor Beresnevich, Alan Haynes, Sanju Velani. 001371703 264_1 $$aProvidence, Rhode Island :$$bAmerican Mathematical Society,$$c[2020] 001371703 264_4 $$c©2020 001371703 300__ $$a1 online resource (92 pages). 001371703 336__ $$atext$$btxt$$2rdacontent 001371703 337__ $$acomputer$$bc$$2rdamedia 001371703 338__ $$aonline resource$$bcr$$2rdacarrier 001371703 4901_ $$aMemoirs of the American Mathematical Society ;$$vvolume 263, number 1276 001371703 500__ $$a"January 2020, volume 263, number 1276 (sixth of 7 numbers)." 001371703 504__ $$aIncludes bibliographical references. 001371703 5050_ $$aSums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1. 001371703 506__ $$aAccess limited to authorized users. 001371703 588__ $$aDescription based on print version record. 001371703 650_7 $$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx].$$2msc 001371703 650_7 $$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71].$$2msc 001371703 650_7 $$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx].$$2msc 001371703 650_7 $$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70].$$2msc 001371703 650_7 $$aNumber theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15].$$2msc 001371703 650_7 $$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations.$$2msc 001371703 650_0 $$aContinued fractions. 001371703 650_0 $$aDiophantine analysis. 001371703 650_7 $$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50].$$2msc 001371703 650_0 $$aNumber theory. 001371703 650_7 $$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06].$$2msc 001371703 650_7 $$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms.$$2msc 001371703 650_7 $$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory.$$2msc 001371703 655_0 $$aElectronic books 001371703 7001_ $$aHaynes, Alan,$$d1980-$$eauthor. 001371703 7001_ $$aVelani, Sanju,$$d1966-$$eauthor. 001371703 77608 $$iPrint version:$$aBeresnevich, Victor, 1971- .$$tSums of reciprocals of fractional parts and multiplicative diophantine approximation.$$dProvidence, Rhode Island : American Mathematical Society, c2020 $$z9781470440954 $$w(DLC) 2020023472 001371703 830_0 $$aMemoirs of the American Mathematical Society ;$$vvolume 263, number 1276. 001371703 852__ $$bebk 001371703 85640 $$3ProQuest Ebook Central Academic Complete $$uhttps://univsouthin.idm.oclc.org/login?url=https://ebookcentral.proquest.com/lib/usiricelib-ebooks/detail.action?docID=6176740$$zOnline Access 001371703 909CO $$ooai:library.usi.edu:1371703$$pGLOBAL_SET 001371703 980__ $$aBIB 001371703 980__ $$aEBOOK 001371703 982__ $$aEbook 001371703 983__ $$aOnline