On multiplicative composition of integers

Hugh L. Montgomery (1) , Gerald Tenenbaum (2)

1 Department of Mathematics - University of Michigan
2 IECL - Institut Élie Cartan de Lorraine

We consider an arithmetic function defined independently by John G. Thompson and Greg Simay, with particular attention to its mean value, and its maximal size, and the analytic nature of its Dirichlet series generating function.

Mots clés: Riemann zeta function; arithmetic function; generating function; extreme values

Domaines: Théorie des nombres [math.NT]

Hugh L. Montgomery, Gerald Tenenbaum. On multiplicative composition of integers. Mathematika, 2017, 63 (3), pp.1081-1090. ⟨10.1112/S0025579317000249⟩. ⟨hal-02890726⟩