The joint universality theorem for a pair of Hurwitz zeta functions

DOI10.1016/j.jnt.2011.05.008zbMath1254.11079OpenAlexW1999821749MaRDI QIDQ640868

Hidehiko Mishou

Publication date: 21 October 2011

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jnt.2011.05.008

zbMATH Keywords

Hurwitz zeta functionvalue distributionuniversalityfunctional independence

Mathematics Subject Classification ID

(zeta (s)) and (L(s, chi)) (11M06) Hurwitz and Lerch zeta functions (11M35)

Related Items (2)

On zeros of bilateral Hurwitz and periodic zeta and zeta star functions ⋮ Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions

Cites Work

• The existence and the non-existence of joint \(t\)-universality for Lerch zeta functions
• A joint universality theorem for Dirichlet L-functions
• The Riemann zeta-function. Transl. from the Russian by Neal Koblitz
• Analytic properties of Dirichlet generating functions of arithmetic objects
• Joint value-distribution theorems on Lerch zeta-functions. II
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• Functional distribution of 𝐿(𝑠,𝜒_{𝑑}) with real characters and denseness of quadratic class numbers

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