Measure-theoretic aspects of oscillations of error terms
Kamalakshya Mahatab, Anirban Mukhopadhyay
Abstract
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Kamalakshya Mahatab, Anirban Mukhopadhyay
Abstract
Open-access reader
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
Key concepts: Omega, Measure (data warehouse), Lebesgue measure, Dirichlet distribution, Lambda, Mathematics, Series (stratigraphy), Lebesgue integration