A Wirtinger type inequality and the spacing of the zeros of the Riemann zeta-function

DOI10.1006/JNTH.2001.2719zbMath0994.11030OpenAlexW2080712990MaRDI QIDQ1604985

Richard R. Hall

Publication date: 10 July 2002

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

Full work available at URL: https://doi.org/10.1006/jnth.2001.2719

zbMATH Keywords

Riemann zeta-functioncritical line\(Z\)-functionlarge gapssuccessive real zeros

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26)

Related Items (16)

Some explicit and unconditional results on gaps between zeroes of the Riemann zeta-function ⋮ On a distinguished family of random variables and Painlevé equations ⋮ Upper bounds for fractional joint moments of the Riemann zeta function ⋮ Some four dimensional definite integrals arising from zeta-function theory ⋮ A note on the zeros of the derivatives of Hardy's function Z(t)$Z(t)$ ⋮ Applications of Wirtinger inequalities on the distribution of zeros of the Riemann zeta-function ⋮ Large gaps between the zeros of the Riemann zeta function ⋮ On large distances between neighboring zeros of the Riemann zeta function ⋮ Derivative moments for characteristic polynomials from the CUE ⋮ 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 ⋮ Characterizations of weighted dynamic Hardy-type inequalities with higher-order derivatives ⋮ A New Unconditional Result about Large Spaces Between Zeta Zeros ⋮ Simple zeros and discrete moments of the derivative of the Riemann zeta-function ⋮ Generalized Wirtinger inequalities, random matrix theory, and the zeros of the Riemann zeta-function.

Cites Work

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• Hardy's inequality and its extensions
• A zero-density theorem for the Riemann zeta-function
• A Note on Gaps between Zeros of the Zeta Function
• THE FOURTH MOMENT OF DERIVATIVES OF THE RIEMANN ZETA-FUNCTION
• Large gaps between zeros of the zeta‐function
• The behaviour of the Riemann zeta‐function on the critical line
• Random matrix theory and \(\zeta(1/2+it)\).

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