A Weighted Discrete Universality Theorem for Periodic Zeta-Functions. II. Issue 6 (2nd November 2017)

• Record Type: Journal Article
• Authors: Macaitienė, Renata; Stoncelis, Mindaugas; Šiaučiūnas, Darius
• Is Part Of: Mathematical modelling and analysis. Volume 22:Issue 6(2017)
• Page Start: 750
• Page End: 762
• Publication Date: 2017-11-02
• Subjects: Hurwitz zeta-function -- Mergelyan theorem -- periodic zeta-function -- universality; 11M41; Mathematical models -- Periodicals; Mathematical models -- Study and teaching -- Periodicals; Mathematical analysis -- Periodicals; Mathematical analysis -- Problems, exercises, etc -- Periodicals; Mathematical analysis; Mathematical models; Mathematical models -- Study and teaching; Periodicals; Problems and exercises; 511.805
• DOI: 10.3846/13926292.2017.1365779
• Languages: English
• ISSNs: 1392-6292

Abstract

Abstract: In the paper, a weighted theorem on the approximation of a wide class of analytic functions by shifts ζ ( s + ik α h ; 𝔞), k ∈ ℕ, 0 < α < 1, and h > 0, of the periodic zeta-function ζ ( s ; 𝔞) with multiplicative periodic sequence 𝔞, is obtained.