Metrical Theorems on Fractional Parts of Sequences
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Publication:5596981
DOI10.2307/1993695zbMath0199.09402OpenAlexW4235075158MaRDI QIDQ5596981
Publication date: 1964
Full work available at URL: https://doi.org/10.2307/1993695
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Cites Work
- Über die metrische Theorie der diophantischen Approximation
- On the frequency of small fractional parts in certain real sequences. III.
- Some results on diophantine approximation
- A Metrical Theorem in Diophantine Approximation
- On the product of three homogeneous linear forms and indefinite ternary quadratic forms
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- Unnamed Item
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