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The Cohen-Lenstra heuristics, moments and $p^j$-ranks of some groups

100%

Delaunay C., Jouhet F.

Acta Arithmetica

2014

tom 164

nr 3

245-263

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 $p^j$-ranks of Selmer groups of elliptic curves. This is compatible with some theoretical works and other classical conjectures.

Factors of alternating sums of products of binomial and q-binomial coefficients

81%

Guo V., Jouhet F., Zeng J.

Acta Arithmetica

2007

tom 127

nr 1

17-31

Ograniczanie wyników

2 Acta Arithmetica

2 Jouhet F.

1 Delaunay C.

1 Guo V.

1 Zeng J.

1 2014

1 2007

Wyniki wyszukiwania

The Cohen-Lenstra heuristics, moments and $p^j$-ranks of some groups

Factors of alternating sums of products of binomial and q-binomial coefficients