Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6415643 | Journal of Number Theory | 2012 | 12 Pages |
Abstract
We construct classes of composite functions of the Riemann zeta-function and Hurwitz zeta function with transcendental parameter which are universal in the sense that their shifts uniformly on compact subsets of some region approximate any analytic function. For example, the functions c1ζ(s)+c2ζ(s,α),c1,c2âCâ{0}, eζ(s)+ζ(s,α) and sin(ζ(s)+ζ(s,α)) are universal.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Antanas LaurinÄikas,