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Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation
MARC
| LEADER | 00000cam a2200000Mu 4500 | ||
|---|---|---|---|
| 001 | EBOOKCENTRAL_on1151201164 | ||
| 003 | OCoLC | ||
| 005 | 20240329122006.0 | ||
| 006 | m d | ||
| 007 | cr ||||||||||| | ||
| 008 | 200502s1920 riu o ||| 0 eng d | ||
| 040 | |a EBLCP |b eng |c EBLCP |d LOA |d OCLCO |d OCLCF |d OCLCO |d OCLCQ |d HF9 |d OCLCL | ||
| 020 | |a 9781470456603 | ||
| 020 | |a 1470456605 | ||
| 029 | 1 | |a AU@ |b 000069467552 | |
| 035 | |a (OCoLC)1151201164 | ||
| 050 | 4 | |a QA242 |b .B474 2020 | |
| 082 | 0 | 4 | |a 512.7/3 |2 23 |
| 049 | |a UAMI | ||
| 100 | 1 | |a Beresnevich, Victor. | |
| 245 | 1 | 0 | |a Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation |h [electronic resource]. |
| 260 | |a Providence : |b American Mathematical Society, |c 1920. | ||
| 300 | |a 1 online resource (92 p.). | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a volume |b nc |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society Ser. ; |v v.263 | |
| 500 | |a Description based upon print version of record. | ||
| 505 | 0 | |a Cover -- Title page -- Part 1 . Problems and main results -- Notation -- 1. Sums of reciprocals -- 2. Multiplicative Diophantine approximation -- Part 2 . Developing techniques and establishing the main results -- 3. Ostrowski expansion -- 4. Estimates for | -- | -- 5. A gaps lemma and its consequences -- 6. Counting solutions to | -- |<\ve -- 7. Establishing the homogeneous results on sums of reciprocals -- 8. Establishing the inhomogeneous results on sums of reciprocals -- 9. Proofs of Theorems 2.2, 2.3 and 2.4 -- 10. Proof of Theorem 2.1 -- Acknowledgments -- Bibliography | |
| 500 | |a Back Cover | ||
| 500 | |a View the abstract. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Continued fractions. | |
| 650 | 0 | |a Diophantine analysis. | |
| 650 | 0 | |a Number theory. | |
| 650 | 6 | |a Fractions continues. | |
| 650 | 6 | |a Analyse diophantienne. | |
| 650 | 6 | |a Théorie des nombres. | |
| 650 | 7 | |a Continued fractions |2 fast | |
| 650 | 7 | |a Diophantine analysis |2 fast | |
| 650 | 7 | |a Number theory |2 fast | |
| 650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]. |2 msc | |
| 650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]. |2 msc | |
| 650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]. |2 msc | |
| 650 | 7 | |a Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]. |2 msc | |
| 650 | 7 | |a Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]. |2 msc | |
| 650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations. |2 msc | |
| 650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]. |2 msc | |
| 650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]. |2 msc | |
| 650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms. |2 msc | |
| 650 | 7 | |a Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory. |2 msc | |
| 700 | 1 | |a Haynes, Alan. | |
| 700 | 1 | |a Velani, Sanju. | |
| 758 | |i has work: |a Sums of reciprocals of fractional parts and multiplicative Ddophantine approximation (Text) |1 https://id.oclc.org/worldcat/entity/E39PCG9pXfJBFrmKyYCbJxcGjK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Beresnevich, Victor |t Sums of Reciprocals of Fractional Parts and Multiplicative Diophantine Approximation |d Providence : American Mathematical Society,c1920 |z 9781470440954 |
| 830 | 0 | |a Memoirs of the American Mathematical Society Ser. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=6176740 |z Texto completo |
| 938 | |a ProQuest Ebook Central |b EBLB |n EBL6176740 | ||
| 994 | |a 92 |b IZTAP | ||