On Discrete Universality of the Hurwitz Zeta-Function
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DOI: 10.1007/s00025-017-0702-8
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… read more here.
Keywords: zeta function; hurwitz zeta; zeta; discrete universality ... See more keywords
On mixed joint discrete universality for a class of zeta-functions. II
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DOI: 10.1007/s10986-019-09432-1
Abstract: We investigate the mixed joint discrete value distribution and the mixed joint discrete universality for the pair consisting of a rather general form of zeta-function with an Euler product and a periodic Hurwitz zeta-function with… read more here.
Keywords: discrete universality; zeta; joint discrete; mixed joint ... See more keywords
Estimates for Weyl sums in the theory of discrete universality
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DOI: 10.1007/s11139-020-00381-9
Abstract: We prove joint and disjoint discrete universality theorems for Dirichlet L-functions $$L(s,\chi )$$ and Hurwitz zeta-functions $$\zeta (s;\beta )$$ with rational parameter $$\beta \in (0,1]$$ . Our approach does not utilize Gallagher’s lemma, which is… read more here.
Keywords: discrete universality; universality; weyl sums; estimates weyl ... See more keywords