Sums of reciprocals of fractional parts and multiplicative Diophantine approximation:
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Providence, RI
American Mathematical Society
[2020]
|
| Schriftenreihe: | Memoirs of the American Mathematical Society
volume 263, number 1276 (sixth of 7 numbers) |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Literaturverzeichnis: Seite 75-77 "January 2020, volume 263, number 1276 (sixth of 7 numbers)" |
| Beschreibung: | vii, 77 Seiten Illustrationen |
| ISBN: | 9781470440954 |
Internformat
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| 490 | 1 | |a Memoirs of the American Mathematical Society |v volume 263, number 1276 (sixth of 7 numbers) | |
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| 500 | |a "January 2020, volume 263, number 1276 (sixth of 7 numbers)" | ||
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Datensatz im Suchindex
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| adam_text | American Mathematical Society
Number 1276
Sums of Reciprocals of Fractional
Parts and Multiplicative Diophantine
Approximation
Victor Beresnevich
Alan Haynes
Sanju Velani
ULB Darmstadt Universitäts- und j
iiiiii mill nil Landesbibliothek 1
20396555 Darmstadt |
January 2020 • Volume 263 • Number 1276 (sixth of 7 numbers)
V*
••
a Ao American
AMS Mathematical
vivivLiJ society
Contents
Part 1 Problems and main results 1
Notation 2
1 Sums of reciprocals 2
2 Multiplicative Diophantine approximation 16
Part 2 Developing techniques and establishing the main results 23
3 Ostrowski expansion 24
4 Estimates for ||na — 7|| 26
5 A gaps lemma and its consequences 31
6 Counting solutions to ||na: — q|| e 35
7 Establishing the homogeneous results on sums of reciprocals 38
8 Establishing the inhomogeneous results on sums of reciprocals 44
9 Proofs of Theorems 2 2, 2 3 and 2 4 55
10 Proof of Theorem 2 1 60
Acknowledgments 73
|
| adam_txt |
American Mathematical Society
Number 1276
Sums of Reciprocals of Fractional
Parts and Multiplicative Diophantine
Approximation
Victor Beresnevich
Alan Haynes
Sanju Velani
ULB Darmstadt Universitäts- und j
iiiiii mill nil Landesbibliothek 1
20396555 Darmstadt |
January 2020 • Volume 263 • Number 1276 (sixth of 7 numbers)
V*
••
a Ao American
AMS Mathematical
vivivLiJ society
Contents
Part 1 Problems and main results 1
Notation 2
1 Sums of reciprocals 2
2 Multiplicative Diophantine approximation 16
Part 2 Developing techniques and establishing the main results 23
3 Ostrowski expansion 24
4 Estimates for ||na — 7|| 26
5 A gaps lemma and its consequences 31
6 Counting solutions to ||na: — q|| e 35
7 Establishing the homogeneous results on sums of reciprocals 38
8 Establishing the inhomogeneous results on sums of reciprocals 44
9 Proofs of Theorems 2 2, 2 3 and 2 4 55
10 Proof of Theorem 2 1 60
Acknowledgments 73 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
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| author_sort | Beresnevič, Victor 1971- |
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| bvnumber | BV046828413 |
| classification_rvk | SI 130 |
| ctrlnum | (OCoLC)1183467254 (DE-599)BVBBV046828413 |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
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| isbn | 9781470440954 |
| language | English |
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| spelling | Beresnevič, Victor 1971- (DE-588)1146782535 aut Sums of reciprocals of fractional parts and multiplicative Diophantine approximation Victor Beresnevich, Alan Haynes, Sanju Velani Providence, RI American Mathematical Society [2020] vii, 77 Seiten Illustrationen txt rdacontent n rdamedia nc rdacarrier Memoirs of the American Mathematical Society volume 263, number 1276 (sixth of 7 numbers) Literaturverzeichnis: Seite 75-77 "January 2020, volume 263, number 1276 (sixth of 7 numbers)" Diophantische Approximation (DE-588)4135760-7 gnd rswk-swf Diophantische Approximation (DE-588)4135760-7 s DE-604 Haynes, Alan (DE-588)1112628398 aut Velani, Sanju 1966- (DE-588)113732023 aut Erscheint auch als Online-Ausgabe 10.1090/memo/1276 Memoirs of the American Mathematical Society volume 263, number 1276 (sixth of 7 numbers) (DE-604)BV008000141 1276 HEBIS Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032237621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Beresnevič, Victor 1971- Haynes, Alan Velani, Sanju 1966- Sums of reciprocals of fractional parts and multiplicative Diophantine approximation Memoirs of the American Mathematical Society Diophantische Approximation (DE-588)4135760-7 gnd |
| subject_GND | (DE-588)4135760-7 |
| title | Sums of reciprocals of fractional parts and multiplicative Diophantine approximation |
| title_auth | Sums of reciprocals of fractional parts and multiplicative Diophantine approximation |
| title_exact_search | Sums of reciprocals of fractional parts and multiplicative Diophantine approximation |
| title_exact_search_txtP | 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_short | Sums of reciprocals of fractional parts and multiplicative Diophantine approximation |
| title_sort | sums of reciprocals of fractional parts and multiplicative diophantine approximation |
| topic | Diophantische Approximation (DE-588)4135760-7 gnd |
| topic_facet | Diophantische Approximation |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032237621&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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