Sums of reciprocals of fractional parts and multiplicative diophantine approximation / / Victor Beresnevich, Alan Haynes, Sanju Velani.
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| Superior document: | Memoirs of the American Mathematical Society ; volume 263, number 1276 |
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| 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)." |
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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.