Résumé
Cet article expose sur 3 exemples quelques interférences entre les problèmes d’optimisation en nombres entiers et la théorie de l’approximation diophantienne.
Keywords
- London Math
- Composite Number
- Nest Pair
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
This is a preview of subscription content, access via your institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
ERDOS P, NICOLAS J. L.: Répartition des nombres superabondants, Bull. Soc. Math. France, à paraftre, (1974).
HARDY G. H. WRIGHT E. M.: An introduction to the theory of numbers, Oxford at the Clarendon Press, 4ème edition, (1960).
LANG S.: Introduction to Diophantine approximations, New-York, Addison Wesley, Series in Mathematics, (1966).
NICOLAS, J. L.: Répartition des nombres hautement composés de Ramanujan, Can. J. Maths, vol. XXIII, p. 116–130, (1971).
NICOLAS J. L.: Sur un problème d’optimisation en nombres entiers de T. L. Saaty, R.A.I.R.O., à paraftre.
NIVEN I, ZUCKERMANN S.: An introduction to the theory of numbers, New-York, 3ème édition, John Wiley and sons, (1972).
PERRON O.: Die Lehre von den Kettenbrüchen, New-York, Chelsea.
RAMANUJAN S.: Highly composite numbers, Proc. London Math. Soc., Ser. 14, p. 347–400, Collected papers p. 78–128, (1915).
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1975 Springer-Verlag
About this paper
Cite this paper
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
Download citation
DOI: https://doi.org/10.1007/BFb0074261
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-07388-8
Online ISBN: 978-3-540-37579-1
eBook Packages: Springer Book Archive
