Mean‐values of the Riemann zeta‐function

DOI10.1112/S0025579300011438zbMath0830.11032MaRDI QIDQ4844789

Kannan Soundararajan

Publication date: 1 February 1996

Published in: Mathematika (Search for Journal in Brave)

zbMATH Keywords

asymptotic formulaLindelöf hypothesisconditional lower boundseven power mean valueunconditional lower bound

Mathematics Subject Classification ID

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

Related Items (12)

NON-VANISHING OF DIRICHLET L-FUNCTIONS AT THE CENTRAL POINT ⋮ The mean square of the product of the Riemann zeta-function with Dirichlet polynomials ⋮ Uniform mean value estimates and discrete Hilbert inequalities via orthogonal Dirichlet series ⋮ Breaking the \(\frac{1}{2}\)-barrier for the twisted second moment of Dirichlet \(L\)-functions ⋮ Lower bounds for the moments of the derivatives of the Riemann zeta-function and Dirichlet \(L\)-functions ⋮ Riemann zeros and random matrix theory ⋮ Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point ⋮ Average nonvanishing of Dirichlet \(L\)-functions at the central point ⋮ CONTINUOUS LOWER BOUNDS FOR MOMENTS OF ZETA ANDL‐FUNCTIONS ⋮ The twisted mean square and critical zeros of Dirichlet \(L\)-functions ⋮ Moments of the Riemann zeta function ⋮ High moments of the Riemann zeta-function

Cites Work

• Fractional Moments of the Riemann Zeta-Function
• Application of a Theorem of Montgomery and Vaughan to the Zeta-Function
• FRACTIONAL MOMENTS OF THE RIEMANN ZETA-FUNCTION, II
• Unnamed Item

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