On universality for linear combinations of \(L\)-functions

DOI10.1007/s00605-011-0283-7zbMath1252.11067OpenAlexW2083868131MaRDI QIDQ766208

Łukasz Pańkowski, Takashi Nakamura

Publication date: 23 March 2012

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-011-0283-7

zbMATH Keywords

hybrid universalityzeros of \(L\)-functionsEuler-Zagier double zeta-functionlinear combination of \(L\)-functionszeta function associated to arithmetic functionszeta functions associated to symmetric matrices

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Hurwitz and Lerch zeta functions (11M35) Multiple Dirichlet series and zeta functions and multizeta values (11M32)

Related Items (6)

Joint universality for Dirichlet \(L\)-functions and zeros of their linear combinations in the \(\chi \)-aspect ⋮ On complex zeros off the critical line for non-monomial polynomial of zeta-functions ⋮ Applications of hybrid universality to multivariable zeta-functions ⋮ Zeros of polynomials of derivatives of zeta functions ⋮ SELF-APPROXIMATION FOR THE RIEMANN ZETA FUNCTION ⋮ ON ZEROS OF SOME COMBINATIONS OF DIRICHLET L-FUNCTIONS AND HURWITZ ZETA-FUNCTIONS

Cites Work

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• Zeros and the universality for the Euler-Zagier-Hurwitz type of multiple zeta-functions
• A JOINT UNIVERSALITY THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS
• Hybrid joint universality theorem for Dirichlet L-functions
• THEOREM ON THE “UNIVERSALITY” OF THE RIEMANN ZETA-FUNCTION
• On zeta functions associated to symmetric matrices III – An explicit form of L-Functions
• Functional equations for double zeta-functions
• On Zeta Functions Associated to Symmetric Matrices, I: An Explicit Form of Zeta Functions
• Hybrid universality theorem for L-functions without Euler product
• Joint universality for sums and products of Dirichlet L-functions

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