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In mathematics, Mahler's 3/2 problem concerns the existence of "Z-numbers". A Z-number is a real number x such that the fractional parts of are less than 1/2 for all positive integers n. Kurt Mahler conjectured in 1968 that there are no Z-numbers. More generally, for a real number α, define Ω(α) as Mahler's conjecture would thus imply that Ω(3/2) exceeds 1/2. Flatto, Lagarias, and Pollington showed that for rational p/q > 1 in lowest terms.

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  • Mahler's 3/2 problem (en)
  • Mahlers 3/2-problem (sv)
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  • In mathematics, Mahler's 3/2 problem concerns the existence of "Z-numbers". A Z-number is a real number x such that the fractional parts of are less than 1/2 for all positive integers n. Kurt Mahler conjectured in 1968 that there are no Z-numbers. More generally, for a real number α, define Ω(α) as Mahler's conjecture would thus imply that Ω(3/2) exceeds 1/2. Flatto, Lagarias, and Pollington showed that for rational p/q > 1 in lowest terms. (en)
  • Inom matematiken är Mahlers 3/2-problem ett problem gällande existensen av så kallade "Z-tal". Ett Z-tal är ett reellt tal x sådant att dess är mindre än 1/2 för alla naturliga tal n. förmodade 1968 att det inte finns några Z-tal. Mer generellt, för ett reellt α, definiera Ω(α) som Mahles förmodan säger alltså att Ω(3/2) är större än 1/2. Flatto, och Pollington bevisade att för rationella p/q. (sv)
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  • In mathematics, Mahler's 3/2 problem concerns the existence of "Z-numbers". A Z-number is a real number x such that the fractional parts of are less than 1/2 for all positive integers n. Kurt Mahler conjectured in 1968 that there are no Z-numbers. More generally, for a real number α, define Ω(α) as Mahler's conjecture would thus imply that Ω(3/2) exceeds 1/2. Flatto, Lagarias, and Pollington showed that for rational p/q > 1 in lowest terms. (en)
  • Inom matematiken är Mahlers 3/2-problem ett problem gällande existensen av så kallade "Z-tal". Ett Z-tal är ett reellt tal x sådant att dess är mindre än 1/2 för alla naturliga tal n. förmodade 1968 att det inte finns några Z-tal. Mer generellt, för ett reellt α, definiera Ω(α) som Mahles förmodan säger alltså att Ω(3/2) är större än 1/2. Flatto, och Pollington bevisade att för rationella p/q. (sv)
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