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arXiv · 1306.0403

On the Sidon Constant for Dirichlet Polynomials

Ole Fredrik Brevig
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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 $\log\log\log{x}/\sqrt{\log\log{x}}$.

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Ole Fredrik Brevig. 2013-12-10. On the Sidon Constant for Dirichlet Polynomials. https://doi.org/10.1016/j.bulsci.2013.12.002

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