UNEXPECTED AVERAGE VALUES OF GENERALIZED VON MANGOLDT FUNCTIONS IN RESIDUE CLASSES

DOI10.1017/S1446788719000715zbMath1469.11384MaRDI QIDQ5005847

Arindam Roy, Nicolas Robles

Publication date: 11 August 2021

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

Dirichlet \(L\)-functiongeneralized von Mangoldt functiongeneralized Möbius functionSelberg's theoremuniform asymptotic formulaWeil explicit formulaSiegel-Walfisz

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) Real zeros of (L(s, chi)); results on (L(1, chi)) (11M20) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (1)

More than five-twelfths of the zeros of \(\zeta\) are on the critical line

Cites Work

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• Pair correlation of the zeros of the derivative of the Riemann ξ -function
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• A Variant of the Selberg Inequality
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