A discrete universality theorem for the Hurwitz zeta-function

DOI10.1016/j.jnt.2014.04.013zbMath1296.11115OpenAlexW1977085614MaRDI QIDQ740382

Antanas Laurinčikas

Publication date: 2 September 2014

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

Full work available at URL: https://doi.org/10.1016/j.jnt.2014.04.013

zbMATH Keywords

limit theoremHurwitz zeta-functionuniversalitylinear independencespace of analytic functionsweak convergence of probability measures

Mathematics Subject Classification ID

Approximation by other special function classes (41A30) Hurwitz and Lerch zeta functions (11M35)

Related Items (15)

The Joint Discrete Universality of Periodic Zeta-Functions ⋮ On discrete universality in the Selberg-Steuding class ⋮ A discrete limit theorem for the periodic Hurwitz zeta-function ⋮ Distribution modulo 1 and universality of the Hurwitz zeta-function ⋮ Non-trivial zeros of the Riemann zeta-function and joint universality theorems ⋮ Discrete universality of \(L\)-functions of new forms. II ⋮ Discrete universality in the Selberg class ⋮ On discrete universality of the Hurwitz zeta-function ⋮ A generalized joint discrete universality theorem for the Riemann and Hurwitz zeta-functions ⋮ On the Hurwitz zeta-function with algebraic irrational parameter. II ⋮ On the modification of the universality of the Hurwitz zeta-function ⋮ JOINT DISCRETE APPROXIMATION OF ANALYTIC FUNCTIONS BY HURWITZ ZETA-FUNCTIONS ⋮ Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function ⋮ A general joint discrete universality theorem for Hurwitz zeta-functions ⋮ ON MIXED JOINT DISCRETE UNIVERSALITY FOR A CLASS OF ZETA-FUNCTIONS: A FURTHER GENERALIZATION

Cites Work

• Topics in multiplicative number theory
• Footnote To a Note of Davenport and Heilbronn
• The discrete universality of the periodic Hurwitz zeta function
• Modular functions and transcendence questions
• ON THE UNIVERSALITY OF THE HURWITZ ZETA-FUNCTION
• Joint universality for sums and products of Dirichlet L-functions
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