A generalized joint discrete universality theorem for the Riemann and Hurwitz zeta-functions

DOI10.1007/S10986-015-9273-0zbMath1352.11066OpenAlexW323738235MaRDI QIDQ493617

Eugenijus Buivydas, Antanas Laurinčikas

Publication date: 3 September 2015

Published in: Lithuanian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10986-015-9273-0

zbMATH Keywords

Riemann zeta-functionHurwitz zeta-functionlinear independencetranscendental numberjoint universality

Mathematics Subject Classification ID

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

Related Items (8)

On joint universality of the Riemann and Hurwitz zeta-functions ⋮ On the Mishou theorem with an algebraic parameter ⋮ The discrete case of the mixed joint universality for a class of certain partial zeta-functions ⋮ Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions ⋮ Universality of -Dirichlet functions and nontrivial zeros of the Riemann zeta-function ⋮ JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS ⋮ On mixed joint discrete universality for a class of zeta-functions. II ⋮ ON MIXED JOINT DISCRETE UNIVERSALITY FOR A CLASS OF ZETA-FUNCTIONS: A FURTHER GENERALIZATION

Cites Work

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• A discrete universality theorem for the Hurwitz zeta-function
• Path integrals and Voronin's theorem on the universality of the Riemann zeta function
• On the mean square of the Riemann zeta-function
• The joint value-distribution of the Riemann zeta function and Hurwitz zeta functions
• Topics in multiplicative number theory
• Modular functions and transcendence questions

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