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Zbl 0958.11060
Culp-Ressler, Wendell; de Azevedo Pribitkin, Wladimir
A note on Siegel's proof of Hamburger's theorem. (English)
[A] Grinberg, E. L. (ed.) et al., Analysis, geometry, number theory: the mathematics of Leon Ehrenpreis. Providence, RI: American Mathematical Society (AMS). Contemp. Math. 251, 135-140 (2000). ISBN 0-8218-1148-7/pbk

In $1921$ {\it H. Hamburger} [Math. Z. 10, 240-254; 11, 224-245 (1921; JFM 48.1210.03)] proved that the Riemann zeta-function is characterized by its functional equation; later Siegel gave a simpler proof. In the paper under review the authors continue their investigations [Ramanujan J. 4, 5-9 (2000; Zbl 1020.11052)] on the solutions of a more general functional equation. Their arguments follow Siegel's ideas.
[Jörn Steuding (Frankfurt am Main)]

MSC 2000:: *11M06 Riemannian zeta-function and Dirichlet L-function

Keywords: Riemann zeta-function; functional equation; Hamburger's theorem

Citations: Zbl 1020.11052; JFM 48.1210.03

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