Joint universality of periodic zeta-functions with multiplicative coefficients. II
Copyright policy )Joint universality of periodic zeta-functions with multiplicative coefficients. II
In the paper, a joint discrete universality theorem for periodic zeta-functions with multiplicative coefficients on the approximation of analytic functions by shifts involving the sequence f kg of imaginary parts of nontrivial zeros of the Riemann zeta-function is obtained. For its proof, a weak form of the Montgomery pair correlation conjecture is used. The paper is a continuation of [A. Laurinčikas, M. Tekorė, Joint universality of periodic zeta-functions with multiplicative coefficients, Nonlinear Anal. Model. Control, 25(5):860–883, 2020] using nonlinear shifts for approximation of analytic functions.
- Vilnius University Lithuania
QA299.6-433, nontrivial zeros of the Riemann zeta-function, weak convergence, periodic zeta-function,space of analytic functions, joint universality, periodic zeta-function, Other Dirichlet series and zeta functions, Analysis, space of analytic functions
QA299.6-433, nontrivial zeros of the Riemann zeta-function, weak convergence, periodic zeta-function,space of analytic functions, joint universality, periodic zeta-function, Other Dirichlet series and zeta functions, Analysis, space of analytic functions
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