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Problemes d’optimisation en nombres entiers et approximations diophantiennes

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Book cover Répartition Modulo 1

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 475))

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Résumé

Cet article expose sur 3 exemples quelques interférences entre les problèmes d’optimisation en nombres entiers et la théorie de l’approximation diophantienne.

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References

  1. ERDOS P, NICOLAS J. L.: Répartition des nombres superabondants, Bull. Soc. Math. France, à paraftre, (1974).

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  2. HARDY G. H. WRIGHT E. M.: An introduction to the theory of numbers, Oxford at the Clarendon Press, 4ème edition, (1960).

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  3. LANG S.: Introduction to Diophantine approximations, New-York, Addison Wesley, Series in Mathematics, (1966).

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  4. NICOLAS, J. L.: Répartition des nombres hautement composés de Ramanujan, Can. J. Maths, vol. XXIII, p. 116–130, (1971).

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  5. NICOLAS J. L.: Sur un problème d’optimisation en nombres entiers de T. L. Saaty, R.A.I.R.O., à paraftre.

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  6. NIVEN I, ZUCKERMANN S.: An introduction to the theory of numbers, New-York, 3ème édition, John Wiley and sons, (1972).

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  7. PERRON O.: Die Lehre von den Kettenbrüchen, New-York, Chelsea.

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  8. RAMANUJAN S.: Highly composite numbers, Proc. London Math. Soc., Ser. 14, p. 347–400, Collected papers p. 78–128, (1915).

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Authors and Affiliations

  1. Université de Limoges Départment de Mathématiques, U.E.R. des Sciences, 87100, Limoges

    J. L. Nicolas

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  1. J. L. Nicolas
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Gérard Rauzy

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© 1975 Springer-Verlag

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Nicolas, J.L. (1975). Problemes d’optimisation en nombres entiers et approximations diophantiennes. In: Rauzy, G. (eds) Répartition Modulo 1. Lecture Notes in Mathematics, vol 475. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0074261

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  • DOI: https://doi.org/10.1007/BFb0074261

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-07388-8

  • Online ISBN: 978-3-540-37579-1

  • eBook Packages: Springer Book Archive

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