Access to the text (HTML) Access to the text (HTML)
PDF Access to the PDF text

Access to the full text of this article requires a subscription.
  • If you are a subscriber, please sign in 'My Account' at the top right of the screen.

  • If you want to subscribe to this journal, see our rates

  • You can purchase this item in Pay Per ViewPay per View - FAQ : 30,00 € Taxes included to order
    Pages Iconography Videos Other
    4 0 0 0

Comptes Rendus Mathématique
Volume 340, n° 1
pages 1-4 (janvier 2005)
Doi : 10.1016/j.crma.2004.11.014
Received : 14 September 2004 ;  accepted : 15 November 2004
Sur un problème de S. Ramanujan
On a problem by S. Ramanujan

Abdelhakim Smati
Laco, UMR-CNRS 6090, université de Limoges, 123, avenue Albert-Thomas, 87060 Limoges cedex, France 


En 1915, Srinivasa Ramanujan donne une borne inférieure de lʼordre maximum de la fonction itérée du nombre des diviseurs,  . En 1989, Paul Erdős et Aleksandar Ivić en donnent une borne supérieure. Dans cette Note, on détermine lʼordre maximum de  , le nombre de diviseurs premiers de  , et on en déduit une amélioration du résultat dʼErdős et Ivić sur lʼordre maximum de  . Pour citer cet article : A. Smati, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.

In 1915, Srinivasa Ramanujan gives a lower limit for the maximum order of the iterated of the divisors function,  . In 1989, Paul Erdős and Aleksandar Ivić give a upper bound. In this Note, we find the maximal order of the function  , the number of prime divisors of  , and we improve the result of Erdős and Ivić on the maximal order of  . To cite this article: A. Smati, C. R. Acad. Sci. Paris, Ser. I 340 (2005).

The full text of this article is available in PDF format.

© 2004  Académie des sciences@@#104156@@
EM-CONSULTE.COM is registrered at the CNIL, déclaration n° 1286925.
As per the Law relating to information storage and personal integrity, you have the right to oppose (art 26 of that law), access (art 34 of that law) and rectify (art 36 of that law) your personal data. You may thus request that your data, should it be inaccurate, incomplete, unclear, outdated, not be used or stored, be corrected, clarified, updated or deleted.
Personal information regarding our website's visitors, including their identity, is confidential.
The owners of this website hereby guarantee to respect the legal confidentiality conditions, applicable in France, and not to disclose this data to third parties.
Article Outline
You can move this window by clicking on the headline