A metrical result on the discrepancy of (nα)
| Autor: | J. Schoissengeier |
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| Rok vydání: | 1998 |
| Předmět: | |
| Zdroj: | Glasgow Mathematical Journal. 40:393-425 |
| ISSN: | 1469-509X 0017-0895 |
| Popis: | In the following let Ω be the set of irrational numbers in the interval [0,1] and let λ be Lebesgue measure restricted to Ω. For any real number x, let {x} = x - [x] be the fractional part of x. Let N be anatural number and let α e Ω. Thenis known as the discrepancy of the sequence (nα)n>1 modulo 1; here c[x, y) denotes the characteristic function of the interval [x, y). |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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