2018Acta ArithmeticaOpen access

Measure-theoretic aspects of oscillations of error terms

Kamalakshya Mahatab, Anirban Mukhopadhyay

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Abstract

We consider fluctuations of error terms $\varDelta(x)$ appearing in the asymptotic formula for the summatory function of the coefficients of a Dirichlet series. These are quantified via $\varOmega$ and $\varOmega_{\pm}$ estimates. We obtain $\varOmega$ bo

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We consider fluctuations of error terms $\varDelta(x)$ appearing in the asymptotic formula for the summatory function of the coefficients of a Dirichlet series. These are quantified via $\varOmega$ and $\varOmega_{\pm}$ estimates. We obtain $\varOmega$ bo

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Available abstract

We consider fluctuations of error terms $\varDelta(x)$ appearing in the asymptotic formula for the summatory function of the coefficients of a Dirichlet series. These are quantified via $\varOmega$ and $\varOmega_{\pm}$ estimates. We obtain $\varOmega$ bo

Key concepts: Omega, Measure (data warehouse), Lebesgue measure, Dirichlet distribution, Lambda, Mathematics, Series (stratigraphy), Lebesgue integration

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