Zeros of derivatives of Riemann's xi-function on the critical line
From MaRDI portal
Publication:1172665
DOI10.1016/0022-314X(83)90031-8zbMath0502.10022MaRDI QIDQ1172665
Publication date: 1983
Published in: Journal of Number Theory (Search for Journal in Brave)
Riemann zeta functionexplicit lower boundsmollifierzeros on critical lineproportion of zeros of derivatives of Riemann's xi-function
Related Items (25)
Zeros of \(\mathrm{GL}_2 \, L\)-functions on the critical line ⋮ On mean values of mollifiers and \(L\)-functions associated to primitive cusp forms ⋮ On the de Bruijn-Newman constant ⋮ A short proof of Levinson's theorem ⋮ Twisted second moments of the Riemann zeta-function and applications ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ Zeros of a random analytic function approach perfect spacing under repeated differentiation ⋮ Zeros of normalized combinations of \(\xi^{(k)}(s)\) on \(\mathrm{Re}(s)=1/2\) ⋮ On the zeros on the critical line of \(L\)-functions corresponding to automorphic cusp forms ⋮ On the Location of the Zeros of the Derivative of a Polynomial ⋮ Non-vanishing of high derivatives of Dirichlet \(L\)-functions at the central point ⋮ CENTRAL VALUES OF DERIVATIVES OF DIRICHLET L-FUNCTIONS ⋮ On a mollifier of the perturbed Riemann zeta-function ⋮ At least two fifths of the zeros of the Riemann zeta function are on the critical line ⋮ The twisted mean square and critical zeros of Dirichlet \(L\)-functions ⋮ Differentiation evens out zero spacings ⋮ More than five-twelfths of the zeros of \(\zeta\) are on the critical line ⋮ The Riemann \(\Xi\)-function under repeated differentiation ⋮ On the distribution of values of the derivative of the Riemann zeta function at its zeros. I ⋮ Exploring Riemann’s functional equation ⋮ On the distribution of zeros of derivatives of the Riemann \(\xi \)-function ⋮ Perturbed moments and a longer mollifier for critical zeros of \(\zeta \) ⋮ Zeros of the Riemann zeta function on the critical line ⋮ Zeros of derivatives of Riemann's Xi-function on the critical line. II ⋮ Jensen polynomials are not a plausible route to proving the Riemann hypothesis
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A simplification in the proof that \(N_0\;(T)>(1/3)\) \(N(T)\) for Riemann's zeta-function
- More than one third of zeros of Riemann's zeta-function are on \(\sigma=1/2\)
- Remarks on a formula of Riemann for his zeta-function
- Deduction of Semi-Optimal Mollifier for Obtaining Lower Bound for N 0 ( T ) for Riemann's Zeta-Function
- Simple Zeros of the Riemann Zeta-Function on the Critical Line
- At Least One-Third of Zeros of Riemann's Zeta-Function are on σ = ½
- Hilbert's Inequality
- Generalization of Recent Method Giving Lower Bound for N o ( T ) of Riemann's Zeta-Function
- Zeros of derivative of Riemann’s 𝜉-function
This page was built for publication: Zeros of derivatives of Riemann's xi-function on the critical line
