Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function.

DOI10.1016/S0022-314X(02)00005-7zbMath1066.11037MaRDI QIDQ1867448

Richard R. Hall

Publication date: 2 April 2003

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

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (7)

Applications of Wirtinger inequalities on the distribution of zeros of the Riemann zeta-function ⋮ Wirtinger inequality using Bessel functions ⋮ Large spaces between the zeros of the Riemann zeta-function and random matrix theory. II ⋮ Large spaces between the zeros of the Riemann zeta-function and random matrix theory ⋮ Wirtinger-type integral inequalities for interval-valued functions ⋮ The Riemann zeta-function and moment conjectures from Random Matrix Theory ⋮ Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives

Cites Work

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• Hardy's inequality and its extensions
• A Wirtinger type inequality and the spacing of the zeros of the Riemann zeta-function
• A Note on Gaps between Zeros of the Zeta Function
• THE FOURTH MOMENT OF DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
• The behaviour of the Riemann zeta‐function on the critical line
• On the stationary points of Hardy's function Z(t)
• Random matrix theory and \(\zeta(1/2+it)\).

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