Sur les entiers $N$ pour lesquels il y a beaucoup de groupes abéliens d'ordre $N$
Sur les entiers $N$ pour lesquels il y a beaucoup de groupes abéliens d'ordre $N$
Let a(n) be the number of abelian groups of order n. To deal with large values taken by a(n), as Ramanujan has done with the number of divisors of n, a-highly composite and superior a-highly composite numbers are defined. To compute these numbers, the vertices of the inferior convex envelope …