On the de Bruijn-Newman constant

DOI10.1016/j.aim.2009.04.003zbMath1175.30023OpenAlexW2135286272WikidataQ56081716 ScholiaQ56081716MaRDI QIDQ2389245

Haseo Ki, Jungseob Lee, Young-One Kim

Publication date: 15 July 2009

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2009.04.003

zbMATH Keywords

Riemann zeta-functionRiemann hypothesisde Bruijn-Newman constantsaddle point method

Mathematics Subject Classification ID

Nonreal zeros of (zeta (s)) and (L(s, chi)); Riemann and other hypotheses (11M26) Representations of entire functions of one complex variable by series and integrals (30D10)

Related Items (11)

Analytic Solutions of the Heat Equation ⋮ Classification theorems for operators preserving zeros in a strip ⋮ Fourier transforms of positive definite kernels and the Riemann \(\xi\)-function ⋮ THE DE BRUIJN–NEWMAN CONSTANT IS NON-NEGATIVE ⋮ The Laguerre-Pólya class and combinatorics. Abstracts from the workshop held March 13--19, 2022 ⋮ Constants of de Bruijn–Newman type in analytic number theory and statistical physics ⋮ Probability Theory in Statistical Physics, Percolation, and Other Random Topics: The Work of C. Newman ⋮ Early work of N. G. (Dick) de Bruijn in analysis and some of my own ⋮ An improved lower bound for the de Bruijn-Newman constant ⋮ Effective approximation of heat flow evolution of the Riemann \(\xi \) function, and a new upper bound for the de Bruijn-Newman constant ⋮ Orthogonal polynomial expansions for the Riemann xi function in the Hermite, Meixner--Pollaczek, and continuous Hahn bases

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The zeros of derivatives of entire functions and the Pólya-Wiman conjecture
• A lower bound for the de Bruijn-Newman constant \(\Lambda\)
• Zeros of derivatives of Riemann's xi-function on the critical line
• Differential operators of infinite order and the distribution of zeros of entire functions
• A note on differential operators of infinite order.
• On the number of nonreal zeros of real entire functions and the Fourier-Pólya conjecture
• De Bruijn's question on the zeros of Fourier transforms
• The roots of trigonometric integrals
• A Proof of the Polya-Wiman Conjecture
• Fourier Transforms with Only Real Zeros
• An improved bound for the de Bruijn-Newman constant

This page was built for publication: On the de Bruijn-Newman constant