Fractions de Bernoulli-Carlitz et opérateurs q-Zeta
Fractions de Bernoulli-Carlitz et opérateurs q-Zeta
We introduce a deformation of Dirichlet series of one complex variable s, which is given for each complex number s by an operator acting on formal power series without constant term in the variable q. We prove that the Bernoulli-Carlitz fractions are obtained as the image of some simple polynomials …