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In the paper, discrete universality theorems for the Hurwitz zeta-function $$\zeta (s,\alpha )$$ζ(s,α) on the approximation of a wide class of analytic functions by shifts $$\zeta (s+i\varphi (k),\alpha )$$ζ(s+iφ(k),α), where… Click to show full abstract
In the paper, discrete universality theorems for the Hurwitz zeta-function $$\zeta (s,\alpha )$$ζ(s,α) on the approximation of a wide class of analytic functions by shifts $$\zeta (s+i\varphi (k),\alpha )$$ζ(s+iφ(k),α), where the sequence $$\{\varphi (k)\}$${φ(k)} is uniformly distributed modulo 1 and satisfies certain growth conditions, are obtained.
Keywords:
zeta function;
hurwitz zeta;
zeta;
discrete universality
Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Results in Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!