Mindaugas Jasas, Antanas P Laurincikas, Darius Šiaučiūnas
Abstract
A theorem dealing with the approximation of analytic functions in the strip $$\{s\in \mathbb{C}: 1/2< \operatorname{Re} s<1\}$$ by shifts of an absolutely convergent Dirichlet series close to a periodic zeta- function with multiplicative coefficients is proved.
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A theorem dealing with the approximation of analytic functions in the strip $$\{s\in \mathbb{C}: 1/2< \operatorname{Re} s<1\}$$ by shifts of an absolutely convergent Dirichlet series close to a periodic zeta- function with multiplicative coefficients is proved.
Key concepts: Mathematics, Dirichlet series, General Dirichlet series, Absolute convergence, Multiplicative function, Analytic number theory, Series (stratigraphy), Riemann zeta function