On the Sidon Constant for Dirichlet Polynomials

Abstract

We estimate the error term in the asymptotic formula of the Sidon constant for (ordinary) Dirichlet polynomials by providing explicit lower and upper bounds. The lower bound is already implicitly known, but we supply the necessary computations to make it explicit. The upper bound is improved by a factor of $\log \log \log x/\sqrt{\log \log x}$.

Minor corrections

References in corpus (1)

• The Bohnenblust--Hille inequality for homogeneous polynomials is hypercontractive

Cited by in corpus (1)

• Convergence Abscissas for Dirichlet Series with Multiplicative Coefficients