On the Sidon constant for Dirichlet polynomials
Copyright policy )On the Sidon constant for Dirichlet polynomials
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 $\log\log\log{x}/\sqrt{\log\log{x}}$.
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Dirichlet polynomials, Mathematics - Number Theory, Trigonometric polynomials, inequalities, extremal problems, FOS: Mathematics, 11M41, Sidon constant, Number Theory (math.NT), Other Dirichlet series and zeta functions
Dirichlet polynomials, Mathematics - Number Theory, Trigonometric polynomials, inequalities, extremal problems, FOS: Mathematics, 11M41, Sidon constant, Number Theory (math.NT), Other Dirichlet series and zeta functions
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