Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani.
2020
QA242 .B474 2020
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Title
Sums of reciprocals of fractional parts and multiplicative diophantine approximation / Victor Beresnevich, Alan Haynes, Sanju Velani.
ISBN
9781470440954
9781470456603 (e-book)
9781470456603 (e-book)
Published
Providence, Rhode Island : American Mathematical Society, [2020]
Copyright
©2020
Language
English
Description
1 online resource (92 pages).
Call Number
QA242 .B474 2020
Dewey Decimal Classification
512.7/3
Note
"January 2020, volume 263, number 1276 (sixth of 7 numbers)."
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Description based on print version record.
Series
Memoirs of the American Mathematical Society ; volume 263, number 1276.
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Table of 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.
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.