On a result of G. Pólya concerning the Riemann \(\xi\)-function

DOI10.1007/BF02789198zbMath0723.11039OpenAlexW1999048371MaRDI QIDQ757469

Dennis A. Hejhal

Publication date: 1990

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02789198

zbMATH Keywords

Bessel functionsRiemann xi-function

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41)

Related Items

Aspects of Zeta-Function Theory in the Mathematical Works of Adolf Hurwitz, Arthur’s Truncated Eisenstein Series for SL(2, Z) and the Riemann Zeta Function: A Survey, Functional equations for regularized zeta-functions and diffusion processes, On complex zeros off the critical line for non-monomial polynomial of zeta-functions, Unnamed Item, A spectral interpretation of the zeros of the constant term of certain Eisenstein series, A note on the Schrodinger operator with exponential potential, Some conjectures on the zeros of approximates to the Riemann \(\Xi\)-function and incomplete gamma functions, Upper bound for the number of zeros of a meromorphic function outside a vertical line and applications, The Riemann hypothesis for certain integrals of Eisenstein series, Convolution operators and zeros of entire functions, Formulas for the Riemann zeta-function and certain Dirichlet series, Early work of N. G. (Dick) de Bruijn in analysis and some of my own, A modified Riemann zeta distribution in the critical strip, The Riemann zeros as spectrum and the Riemann hypothesis, On the Topography of Maass Waveforms for PSL(2, Z)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Die Funktionalgleichungen einiger Dirichletscher Reihen
• The Selberg trace formula for \(\text{PSL}(2,\mathbb R)\). Vol. 2
• Some Dirichlet series with coefficients related to periods of automorphic eigenforms
• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Imaginäre quadratische Zahlkörper mit der Klassenzahl 1
• Values of \(L\)-functions at \(s=1\). I: \(L\)-functions for quadratic forms
• The roots of trigonometric integrals
• Contributions to the theory of the Dirichlet \(L\)-series and the Epstein zeta-functions
• On Computing Artin L-Functions in the Critical Strip
• Zetafunktionen quadratischer Formen.
• The Zeros of Epstein's Zeta-Functions
• On the zeros of Epstein's zeta function