Sign changes of \(\Delta_{(1)}(x)\)

DOI10.1016/J.JNT.2021.07.004zbMath1497.11206OpenAlexW3193461539WikidataQ114156826 ScholiaQ114156826MaRDI QIDQ2668929

Dan Liu, Yankun Sui

Publication date: 9 March 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2021.07.004

zbMATH Keywords

new divisor problemsign changederivative of the Riemann zeta function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06)

Cites Work

• Unnamed Item
• The average behaviour of the error term in a new kind of the divisor problem
• A zero-density theorem for the Riemann zeta-function
• Sign changes of \(E(T)\), \(\Delta(x)\), and \(P(x)\)
• On higher-power moments of \(\Delta(1)(x)\)
• On the higher moments of the error term in the divisor problem
• Exponential Sums and Lattice Points III
• On higher-power moments of Δ(x) (II)
• Higher-Power Moments of δ(x ), E(t ) and P(x )
• Sign changes of the error term in Weyl’s law for Heisenberg manifolds

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