Applications of hybrid universality to multivariable zeta-functions

DOI10.1016/j.jnt.2011.05.004zbMath1267.11096OpenAlexW2017024343MaRDI QIDQ640029

Takashi Nakamura, Łukasz Pańkowski

Publication date: 12 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.2011.05.004

zbMATH Keywords

hybrid universalitymultiple zeta-functions

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (1)

On complex zeros off the critical line for non-monomial polynomial of zeta-functions

Cites Work

• The universality for linear combinations of Lerch zeta functions and the Tornheim-Hurwitz type of double zeta functions
• Universality of the Riemann zeta-function
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• Value distribution of \(L\)-functions
• On the non-trivial zeros off the critical line for \(L\)-functions from the extended Selberg class
• A multivariable Euler product of Igusa type and its applications
• Multiple harmonic series
• The algebra of multiple harmonic series
• The analytic continuation and the asymptotic behaviour of certain multiple zeta-functions. I.
• Multiple zeta values at non-positive integers
• Analytic continuation of multiple zeta-functions and their values at non-positive integers
• Zeros and the universality for the Euler-Zagier-Hurwitz type of multiple zeta-functions
• A functional relation for the Tornheim double zeta function
• Generalizations of Apostol–Vu and Mordell–Tornheim multiple zeta functions
• Hybrid joint universality theorem for Dirichlet L-functions
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• Functional equations for double zeta-functions
• Joint universality for sums and products of Dirichlet L-functions
• Meromorphic continuation of multivariable Euler products
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