Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani.
Saved in:
| Superior document: | Memoirs of the American Mathematical Society ; volume 263, number 1276 |
|---|---|
| VerfasserIn: | |
| TeilnehmendeR: | |
| Place / Publishing House: | Providence, Rhode Island : : American Mathematical Society,, [2020] 2020 |
| Year of Publication: | 2020 |
| Language: | English |
| Series: | Memoirs of the American Mathematical Society ;
volume 263, number 1276. |
| Online Access: | |
| Physical Description: | 1 online resource (92 pages). |
| Notes: | "January 2020, volume 263, number 1276 (sixth of 7 numbers)." |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| id |
5006176740 |
|---|---|
| ctrlnum |
(MiAaPQ)5006176740 (Au-PeEL)EBL6176740 (OCoLC)1151201164 |
| collection |
bib_alma |
| record_format |
marc |
| spelling |
Beresnevich, Victor, 1971- author. Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani. Providence, Rhode Island : American Mathematical Society, [2020] 2020 1 online resource (92 pages). text txt rdacontent computer c rdamedia online resource cr rdacarrier Memoirs of the American Mathematical Society ; volume 263, number 1276 "January 2020, volume 263, number 1276 (sixth of 7 numbers)." 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. Description based on print version record. Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries. Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx]. msc Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71]. msc Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx]. msc Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70]. msc Number theory -- Elementary number theory {For analogues in number fields, see 11R04} -- Continued fractions {For approximation results, see 11J70} [See also 11K50, 30B70, 40A15]. msc Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations. msc Continued fractions. Diophantine analysis. Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50]. msc Number theory. Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06]. msc Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms. msc Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory. msc Electronic books. Haynes, Alan, 1980- author. Velani, Sanju, 1966- author. Print version: Beresnevich, Victor, 1971- . Sums of reciprocals of fractional parts and multiplicative diophantine approximation. Providence, Rhode Island : American Mathematical Society, c2020 92 pages Memoirs of the American Mathematical Society ; volume 263, number 1276. 9781470440954 (DLC) 2020023472 ProQuest (Firm) Memoirs of the American Mathematical Society ; volume 263, number 1276. https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=6176740 Click to View |
| language |
English |
| format |
eBook |
| author |
Beresnevich, Victor, 1971- Haynes, Alan, 1980- Velani, Sanju, 1966- |
| spellingShingle |
Beresnevich, Victor, 1971- Haynes, Alan, 1980- Velani, Sanju, 1966- Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Memoirs of the American Mathematical Society ; 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. |
| author_facet |
Beresnevich, Victor, 1971- Haynes, Alan, 1980- Velani, Sanju, 1966- Haynes, Alan, 1980- Velani, Sanju, 1966- |
| author_variant |
v b vb a h ah s v sv |
| author_role |
VerfasserIn VerfasserIn VerfasserIn |
| author2 |
Haynes, Alan, 1980- Velani, Sanju, 1966- |
| author2_role |
TeilnehmendeR TeilnehmendeR |
| author_sort |
Beresnevich, Victor, 1971- |
| title |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / |
| title_full |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani. |
| title_fullStr |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani. |
| title_full_unstemmed |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani. |
| title_auth |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / |
| title_new |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / |
| title_sort |
sums of reciprocals of fractional parts and multiplicative diophantine approximation / |
| series |
Memoirs of the American Mathematical Society ; |
| series2 |
Memoirs of the American Mathematical Society ; |
| publisher |
American Mathematical Society, |
| publishDate |
2020 |
| physical |
1 online resource (92 pages). |
| contents |
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. |
| isbn |
9781470456603 (e-book) 9781470440954 |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA242 |
| callnumber-sort |
QA 3242 B474 42020 |
| genre |
Electronic books. |
| genre_facet |
Electronic books. |
| url |
https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=6176740 |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
512 - Algebra |
| dewey-full |
512.7/3 |
| dewey-sort |
3512.7 13 |
| dewey-raw |
512.7/3 |
| dewey-search |
512.7/3 |
| oclc_num |
1151201164 |
| work_keys_str_mv |
AT beresnevichvictor sumsofreciprocalsoffractionalpartsandmultiplicativediophantineapproximation AT haynesalan sumsofreciprocalsoffractionalpartsandmultiplicativediophantineapproximation AT velanisanju sumsofreciprocalsoffractionalpartsandmultiplicativediophantineapproximation |
| status_str |
n |
| ids_txt_mv |
(MiAaPQ)5006176740 (Au-PeEL)EBL6176740 (OCoLC)1151201164 |
| carrierType_str_mv |
cr |
| hierarchy_parent_title |
Memoirs of the American Mathematical Society ; volume 263, number 1276 |
| hierarchy_sequence |
volume 263, number 1276. |
| is_hierarchy_title |
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / |
| container_title |
Memoirs of the American Mathematical Society ; volume 263, number 1276 |
| author2_original_writing_str_mv |
noLinkedField noLinkedField |
| _version_ |
1792331018557980672 |
| fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04299nam a2200601 i 4500</leader><controlfield tag="001">5006176740</controlfield><controlfield tag="003">MiAaPQ</controlfield><controlfield tag="005">20200818103203.0</controlfield><controlfield tag="006">m o d | </controlfield><controlfield tag="007">cr cnu||||||||</controlfield><controlfield tag="008">200818s2020 riu ob 000 0 eng </controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="z">9781470440954</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781470456603 (e-book)</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(MiAaPQ)5006176740</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(Au-PeEL)EBL6176740</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1151201164</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">MiAaPQ</subfield><subfield code="b">eng</subfield><subfield code="e">rda</subfield><subfield code="e">pn</subfield><subfield code="c">MiAaPQ</subfield><subfield code="d">MiAaPQ</subfield></datafield><datafield tag="050" ind1=" " ind2="4"><subfield code="a">QA242</subfield><subfield code="b">.B474 2020</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">512.7/3</subfield><subfield code="2">23</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Beresnevich, Victor,</subfield><subfield code="d">1971-</subfield><subfield code="e">author.</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Sums of reciprocals of fractional parts and multiplicative diophantine approximation /</subfield><subfield code="c">Victor Beresnevich, Alan Haynes, Sanju Velani.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Providence, Rhode Island :</subfield><subfield code="b">American Mathematical Society,</subfield><subfield code="c">[2020]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">2020</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (92 pages).</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Memoirs of the American Mathematical Society ;</subfield><subfield code="v">volume 263, number 1276</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">"January 2020, volume 263, number 1276 (sixth of 7 numbers)."</subfield></datafield><datafield tag="504" ind1=" " ind2=" "><subfield code="a">Includes bibliographical references.</subfield></datafield><datafield tag="505" ind1="0" ind2=" "><subfield code="a">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.</subfield></datafield><datafield tag="588" ind1=" " ind2=" "><subfield code="a">Description based on print version record.</subfield></datafield><datafield tag="590" ind1=" " ind2=" "><subfield code="a">Electronic reproduction. Ann Arbor, MI : ProQuest, 2018. Available via World Wide Web. Access may be limited to ProQuest affiliated libraries.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Diophantine approximation [See also 11Jxx].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- General theory of distribution modulo $1$ [See also 11J71].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Irregularities of distribution, discrepancy [See also 11Nxx].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Probabilistic theory: distribution modulo $1$; metric theory of algorithms -- Metric theory of continued fractions [See also 11A55, 11J70].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="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].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Small fractional parts of polynomials and generalizations.</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Continued fractions.</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Diophantine analysis.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Continued fractions and generalizations [See also 11A55, 11K50].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="0"><subfield code="a">Number theory.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Distribution modulo one [See also 11K06].</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Inhomogeneous linear forms.</subfield><subfield code="2">msc</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Number theory -- Diophantine approximation, transcendental number theory [See also 11K60] -- Metric theory.</subfield><subfield code="2">msc</subfield></datafield><datafield tag="655" ind1=" " ind2="4"><subfield code="a">Electronic books.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Haynes, Alan,</subfield><subfield code="d">1980-</subfield><subfield code="e">author.</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Velani, Sanju,</subfield><subfield code="d">1966-</subfield><subfield code="e">author.</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Print version:</subfield><subfield code="a">Beresnevich, Victor, 1971- .</subfield><subfield code="t">Sums of reciprocals of fractional parts and multiplicative diophantine approximation.</subfield><subfield code="d">Providence, Rhode Island : American Mathematical Society, c2020 </subfield><subfield code="h">92 pages </subfield><subfield code="k">Memoirs of the American Mathematical Society ; volume 263, number 1276.</subfield><subfield code="z">9781470440954 </subfield><subfield code="w">(DLC) 2020023472</subfield></datafield><datafield tag="797" ind1="2" ind2=" "><subfield code="a">ProQuest (Firm)</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Memoirs of the American Mathematical Society ;</subfield><subfield code="v">volume 263, number 1276.</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://ebookcentral.proquest.com/lib/oeawat/detail.action?docID=6176740</subfield><subfield code="z">Click to View</subfield></datafield></record></collection> |