TY - BOOK ID - 147838873 TI - Sums of reciprocals of fractional parts and multiplicative diophantine approximation AU - Beresnevich, Victor AU - Haynes, Alan AU - Velani, Sanju PY - 2020 SN - 1470456605 PB - Providence, Rhode Island : American Mathematical Society, DB - UniCat KW - Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]. KW - Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]. KW - Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]. KW - Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]. KW - Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]. KW - Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations. KW - Continued fractions. KW - Diophantine analysis. KW - Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]. KW - Number theory. KW - Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]. KW - Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms. KW - Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory. UR - https://www.unicat.be/uniCat?func=search&query=sysid:147838873 AB - View the abstract. ER -