Exponential sums and additive problems involving square-free numbers
Exponentialsummen und Nullstellen von L-Reihen.
Extension of analytic number theory and the theory of regularized harmonic series from Dirichlet series to Bessel series.
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.
Extrait d'un travail intitulé «Sur le mémoire de Riemann relatif au nombre des nombres premiers inférieurs à une grandeur donnée»
Extremal values of Dirichlet -functions in the half-plane of absolute convergence
We prove that for any real there are infinitely many values of with and such thatThe proof relies on an effective version of Kronecker’s approximation theorem.
Extreme values of argL(1,χ)
Extreme values of the Dedekind zeta function
Extreme values of the Riemann zeta function.
Extreme values of the Riemann zeta-function on short zero intervals