Early work of N. G. (Dick) de Bruijn in analysis and some of my own

DOI10.1016/j.indag.2013.06.001zbMath1294.01053OpenAlexW2119473749MaRDI QIDQ740458

Jacob Korevaar

Publication date: 3 September 2014

Published in: Indagationes Mathematicae. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.indag.2013.06.001

zbMATH Keywords

de Bruijn-Newman constantRiemann's hypothesisde Bruijn's work in analysiszeros of trigonometric integrals

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) History of functions of a complex variable (30-03)

Related Items (1)

Tauberian Korevaar

Cites Work

• Some conjectures on the zeros of approximates to the Riemann \(\Xi\)-function and incomplete gamma functions
• Uniform asymptotic methods for integrals
• Nicolaas Govert de Bruijn, the enchanter of friable integers
• On a result of G. Pólya concerning the Riemann \(\xi\)-function
• The neutralized sum formula of Euler
• A new lower bound for the de Bruijn-Newman constant
• A proof of the Bieberbach conjecture
• A lower bound for the de Bruijn-Newman constant \(\Lambda\)
• Lehmer pairs of zeros, the de Bruijn-Newman constant \(\Lambda\), and the Riemann hypothesis
• On the de Bruijn-Newman constant
• The uniform approximation to continuous functions by linear aggregates of functions of a given set
• An elementary proof of the prime-number theorem
• The roots of trigonometric integrals
• The zeros of approximating polynomials and the canonical representation of an entire function
• An estimate of the error in tauberian theorems for power series
• Entire functions as limits of polynomials
• An improved lower bound for the de Bruijn-Newman constant
• Pansions and the Theory of Fourier Transforms
• Ludwig Bieberbach's Conjecture and Its Proof by Louis de Branges
• Fourier Transforms with Only Real Zeros
• All but finitely many non-trivial zeros of the approximations of the Epstein zeta function are simple and on the critical line
• Tauberian Theory
• Inverse spectral problem for normal matrices and the Gauss-Lucas theorem
• The Asymptotically Periodic Behavior of the Solutions of Some Linear Functional Equations
• On a New Method in Elementary Number Theory Which Leads to An Elementary Proof of the Prime Number Theorem
• ON THE RIEMANN ZETA FUNCTION
• An improved bound for the de Bruijn-Newman constant
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