A quadratic divisor problem and moments of the Riemann zeta-function

DOI10.4171/JEMS/999zbMath1471.11231arXiv1609.02539OpenAlexW3042719917MaRDI QIDQ2216750

Xiannan Li, Sandro Bettin, Maksym Radziwiłł, Hung Manh Bui

Publication date: 17 December 2020

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

Full work available at URL: https://arxiv.org/abs/1609.02539

zbMATH Keywords

Riemann zeta functionquadratic divisor problemtwisted fourth moment

Mathematics Subject Classification ID

Asymptotic results on arithmetic functions (11N37) (zeta (s)) and (L(s, chi)) (11M06)

Related Items (9)

Weighted value distributions of the Riemann zeta function on the critical line ⋮ Moments of the Hurwitz zeta function on the critical line ⋮ Upper bounds for fractional joint moments of the Riemann zeta function ⋮ A note on the zeros of the derivatives of Hardy's function Z(t)$Z(t)$ ⋮ On the derivatives of Hardy's function Z(t) ⋮ The fourth moment of Dirichlet \(L\)-functions along the critical line ⋮ Motohashi’s fourth moment identity for non-archimedean test functions and applications ⋮ On the splitting conjecture in the hybrid model for the Riemann zeta function ⋮ Lower bounds for discrete negative moments of the Riemann zeta function

Cites Work

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• On Mean Values for Dirichlet's Polynomials and the Riemann Zeta-Function
• The binary additive divisor problem
• Gaps between zeros of the Riemann zeta-function
• Integral moments of L-functions
• THE TWISTED SECOND MOMENT OF THE DEDEKIND ZETA FUNCTION OF A QUADRATIC FIELD

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