D{\'e}monstration d'une conjecture de Kruyswijk et Meijer sur le plus petit d{\'e}nominateur des nombres rationnels d'un intervalle
| Autor: | Balazard, Michel, Martin, Bruno |
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| Jazyk: | francouzština |
| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | The average value of the smallest denominator of a rational number belonging to the interval $](j-1)/N,j/N]$, where~$j=1,\dots, N$, is proved to be asymptotically equivalent to~$16\pi^{-2}\sqrt{N}$, when $N$ tends to infinity. The result had been conjectured in 1977 by Kruyswijk and Meijer. Comment: in French language |
| Databáze: | arXiv |
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