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Comptes Rendus Mathématique
Volume 348, n° 9-10
pages 479-482 (mai 2010)
Doi : 10.1016/j.crma.2010.03.005
Received : 19 September 2009 ;  accepted : 2 Mars 2010
Sur l’équation  
On the equation  
 

François Apéry
F.S.T., 68093 Mulhouse cedex, France 

Résumé

On démontre la formule  , où   est le nombre de Wendt d’ordre  , et   est le nombre de classes de solutions non triviales de  . Dans le cas  , la sommation est infinie, mais on obtient une formule analogue avec une somme finie en considérant les classes de solutions non triviales et non cycliques et le nombre de Wendt réduit.

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

The formula   is proved, where   is the Wendt number of order  , and   denotes the number of nontrivial solution classes of  . In the case  , the sum is infinite, however, we obtain a similar formula with a finite sum by considering the nontrivial and noncyclic solution classes as well as the reduced Wendt number.

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

 Cette Note doit beaucoup d’améliorations à J.-P. Jouanolou, Y. Hellegouarch et J.-P. Serre.



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