Joint universality for sums and products of Dirichlet L-functions

DOI10.1524/anly.2006.26.99.295zbMath1140.11044OpenAlexW1982659130MaRDI QIDQ5437290

Jörn Steuding, Jürgen Sander

Publication date: 18 January 2008

Published in: Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1524/anly.2006.26.99.295

zbMATH Keywords

Selberg classjoint universalityDedekind zeta-functionsHurwitz zeta-functions

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Other Dirichlet series and zeta functions (11M41) Zeta functions and (L)-functions of number fields (11R42) Hurwitz and Lerch zeta functions (11M35)

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Cites Work

• Unnamed Item
• Holomorphic monsters
• Werteverteilung von Zetafunktionen
• Extreme values of the Riemann zeta function
• On the equation \(\zeta_K(s)=\zeta_{K'}(s)\)
• On the structure of the Selberg class. I: \(0\leq d\leq 1\).
• The value distribution of Artin \(L\)-series and zeros of zeta-functions.
• Universal families and hypercyclic operators
• The multiplicative and functional independence of Dedekind zeta functions of abelian fields
• On the value distribution of Hurwitz zeta-functions at the nontrivial zeros of the Riemann zeta-function