Two extensions of Hamburger's theorems (on the functional equation of the zeta-function)

DOI10.1016/J.EXMATH.2012.03.003zbMath1257.11078arXiv1106.4749OpenAlexW3106268908MaRDI QIDQ690440

Jean-François Burnol

Publication date: 27 November 2012

Published in: Expositiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1106.4749

zbMATH Keywords

Riemann zeta functionfunctional equationsDirichlet seriesPoisson formulaco-Poisson formulaHamburger theoremTheory of distributions

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) (zeta (s)) and (L(s, chi)) (11M06) Langlands (L)-functions; one variable Dirichlet series and functional equations (11F66)

Cites Work

• Unnamed Item
• On Riemann's functional equation
• On Riemann's functional equations
• A converse theorem for Dirichlet \(L\)-functions
• Co-Poisson intertwining
• Über die Bestimmung Dirichletscher Reihen durch Funktionalgleichungen
• Multiplicity results for the functional equation of the Dirichlet L-functions
• Multiplicity results for the functional equation of the Dirichlet L-functions: case p=2
• Sur l'équation fonctionnelle de Riemann et la formule sommatoire de Poisson
• On solutions of Riemann’s functional equation
• On Fourier and Zeta(s)

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