The joint universality and the functional independence for Lerch zeta-functions

DOI10.1017/S002776300000725XzbMath0970.11034MaRDI QIDQ4953059

Antanas Laurinčikas, Kohji Matsumoto

Publication date: 21 October 2001

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

zbMATH Keywords

universalityLerch zeta-functionfunctional independence

Mathematics Subject Classification ID

Hurwitz and Lerch zeta functions (11M35)

Related Items (23)

Kubinių algebrinių skaičių multiplikatyvusis priklausomumas;Multiplicative dependence of cubic algebraic numbers ⋮ The mixed joint universality for a class of zeta-functions ⋮ Applications of inversion formulas to the joint \(t\)-universality of Lerch zeta functions ⋮ On \(\mathbb{Z}\)-dependency of algebraic integers satisfying cubic and quartic polynomials ⋮ ON THE FUNCTIONAL INDEPENDENCE OF THE RIEMANN ZETA-FUNCTION ⋮ Совместная дискретная универсальность дзета-функций Лерха ⋮ On the joint universality of Lerch zeta functions ⋮ A JOINT UNIVERSALITY THEOREM FOR PERIODIC HURWITZ ZETA-FUNCTIONS ⋮ Functional distribution for a collection of Lerch zeta functions ⋮ The joint universality of Dirichlet \(L\)-functions and Lerch zeta-functions ⋮ On joint universality of periodic Hurwitz zeta-functions ⋮ Functional independence of periodic Hurwitz zeta functions ⋮ Joint approximation of analytic functions by shifts of the Riemann and periodic Hurwitz zeta-functions ⋮ Joint value-distribution theorems on Lerch zeta-functions. II ⋮ Some value-distribution theorems for periodic Hurwitz zeta-functions ⋮ Discrete universality of \(L\)-functions for new forms ⋮ The existence and the non-existence of joint \(t\)-universality for Lerch zeta functions ⋮ Disjoint universality for families of Taylor-type operators ⋮ Joint universality and simple \(a\)-points of Lerch zeta-functions ⋮ On joint approximation of analytic functions by nonlinear shifts of zeta-functions of certain cusp forms ⋮ Joint discrete universality of periodic zeta-functions ⋮ Joint universality of Hurwitz zeta-functions and nontrivial zeros of the Riemann zeta-function ⋮ On a certain set of Lerch's zeta-functions and their derivatives

Cites Work

• A joint universality theorem for Dirichlet L-functions
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