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Ein Lineares Programm In Der Zahlentheorie

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Part of the Lecture Notes in Mathematics book series (LNM,volume 1262)

Abstract

A problem of ERDÖS to determine cm=sup{1/n Σai: n!/Πi! ε ℕ, ai≥m} is treated by linear programming. Also the similar problems using Lnn! resp. (n)q! instead of n! leading to cLm resp. c (q)m are considered and the asymptotic behaviour of cm and cLm is determined.

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Literatur

  1. ERDÖS P., Problem 85–6*. The Mathematical Intelligencer 7(1985), p 35.

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  2. BARON G., Solution of Problem 85–6*. The Mathematical Intelligencer 8(1986), pp 42–43.

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  3. RADEMACHER M., Lectures on Elementary Number Theory, Blaisdale Publ.Comp. (1964).

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© 1987 Springer-Verlag

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Baron, G. (1987). Ein Lineares Programm In Der Zahlentheorie. In: Hlawka, E. (eds) Zahlentheoretische Analysis II. Lecture Notes in Mathematics, vol 1262. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0078591

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  • DOI: https://doi.org/10.1007/BFb0078591

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-18015-9

  • Online ISBN: 978-3-540-47256-8

  • eBook Packages: Springer Book Archive