05450nam 2200757 450 991048083290332120200818103203.01-4704-5660-5(CKB)4100000011040053(MiAaPQ)EBC6176740(PPN)249990210(EXLCZ)99410000001104005320200818d2020 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierSums of reciprocals of fractional parts and multiplicative diophantine approximation /Victor Beresnevich, Alan Haynes, Sanju VelaniProvidence, Rhode Island :American Mathematical Society,[2020]©20201 online resource (92 pages)Memoirs of the American Mathematical Society ;volume 263, number 1276"January 2020, volume 263, number 1276 (sixth of 7 numbers)."1-4704-4095-4 Includes bibliographical references.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.Memoirs of the American Mathematical Society ;volume 263, number 1276.Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]mscNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]mscNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]mscNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]mscNumber theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]mscNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizationsmscContinued fractionsDiophantine analysisNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]mscNumber theoryNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]mscNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear formsmscNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theorymscElectronic books.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.512.7/3Beresnevich Victor1971-958518Haynes Alan1980-Velani Sanju1966-MiAaPQMiAaPQMiAaPQBOOK9910480832903321Sums of reciprocals of fractional parts and multiplicative diophantine approximation2295054UNINA