Generalization of Waring-type formulas. (Généralisation de formules de type Waring.)
On a generalization of binomial coefficients. (Sur une généralisation des coefficients binomiaux.)
The Cohen-Lenstra heuristics, moments and -ranks of some groups
This article deals with the coherence of the model given by the Cohen-Lenstra heuristic philosophy for class groups and also for their generalizations to Tate-Shafarevich groups. More precisely, our first goal is to extend a previous result due to É. Fouvry and J. Klüners which proves that a conjecture provided by the Cohen-Lenstra philosophy implies another such conjecture. As a consequence of our work, we can deduce, for example, a conjecture for the probability laws of -ranks of Selmer groups...
Factors of alternating sums of products of binomial and q-binomial coefficients
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