Exponential sums involving the largest prime factor function
Exponential sums with multiplicative coefficients.
Exponential Sums with Multiplicative Coefficients.
Extension aux nombres premiers complexes des théorèmes de M. Tchebicheff
Extension of Estermann’s theorem to Euler products associated to a multivariate polynomial
Given a multivariate polynomial with integral coefficients verifying an hypothesis of analytic regularity (and satisfying ), we determine the maximal domain of meromorphy of the Euler product and the natural boundary is precisely described when it exists. In this way we extend a well known result for one variable polynomials due to Estermann from 1928. As an application, we calculate the natural boundary of the multivariate Euler products associated to a family of toric varieties.
Extensions of asymptotic expansions from Chapter 15 of Ramanujan's second notebook.
Extensions of some formulae of A. Selberg.
Extremal orders of compositions of certain arithmetical functions.
Extreme values of symmetric power L-functions at 1