LEADER 05450nam 2200757 450 001 9910480832903321 005 20200818103203.0 010 $a1-4704-5660-5 035 $a(CKB)4100000011040053 035 $a(MiAaPQ)EBC6176740 035 $a(PPN)249990210 035 $a(EXLCZ)994100000011040053 100 $a20200818d2020 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSums of reciprocals of fractional parts and multiplicative diophantine approximation /$fVictor Beresnevich, Alan Haynes, Sanju Velani 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d[2020] 210 4$dİ2020 215 $a1 online resource (92 pages) 225 1 $aMemoirs of the American Mathematical Society ;$vvolume 263, number 1276 300 $a"January 2020, volume 263, number 1276 (sixth of 7 numbers)." 311 $a1-4704-4095-4 320 $aIncludes bibliographical references. 327 $aSums of reciprocals -- Multiplicative Diophantine approximation -- Ostrowski expansion -- Estimates for n[alpha] - [gamma] -- A gaps lemma and its consequences -- Counting solutions to n[alpha] - [gamma] < [epsilon] -- Establishing the homogeneous results on sums of reciprocals -- Establishing the inhomogeneous results on sums of reciprocals -- Proofs of theorems 2.2, 2.3 and 2.4 -- Proof of theorem 2.1. 410 0$aMemoirs of the American Mathematical Society ;$vvolume 263, number 1276. 606 $aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]$2msc 606 $aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]$2msc 606 $aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]$2msc 606 $aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]$2msc 606 $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 606 $aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations$2msc 606 $aContinued fractions 606 $aDiophantine analysis 606 $aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]$2msc 606 $aNumber theory 606 $aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]$2msc 606 $aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms$2msc 606 $aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory$2msc 608 $aElectronic books. 615 7$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]. 615 7$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]. 615 7$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]. 615 7$aNumber theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]. 615 7$aNumber theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]. 615 7$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations. 615 0$aContinued fractions. 615 0$aDiophantine analysis. 615 7$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]. 615 0$aNumber theory. 615 7$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]. 615 7$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms. 615 7$aNumber theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory. 676 $a512.7/3 700 $aBeresnevich$b Victor$f1971-$0958518 702 $aHaynes$b Alan$f1980- 702 $aVelani$b Sanju$f1966- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910480832903321 996 $aSums of reciprocals of fractional parts and multiplicative diophantine approximation$92295054 997 $aUNINA