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
Remainder Padé Approximants for the Hurwitz Zeta Function
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DOI: 10.1007/s00025-019-0976-0
Abstract: Following our earlier research, we use the method introduced by the author in Prévost (J Comput Appl Math 67(2):219–235, 1996) named Remainder Padé Approximant in Prévost (Constr Approx 25(1):109–123, 2007), to construct approximations of the Hurwitz zeta… read more here.
Keywords: zeta function; hurwitz zeta; approximants hurwitz; remainder pad ... See more keywords
On the Poincaré expansion of the Hurwitz zeta function
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DOI: 10.1007/s10986-021-09527-8
Abstract: In this paper, we extend the result of Paris [R.B. Paris, The Stokes phenomenon associated with the Hurwitz zeta function ζ(s, a), Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci., 461(2053):297–304, 2005] on… read more here.
Keywords: zeta function; hurwitz zeta; expansion;
Real zeros of Hurwitz zeta-functions and their asymptotic behavior in the interval (0,1)
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DOI: 10.1016/j.jmaa.2018.12.001
Abstract: Let $0 read more here.
Keywords: hurwitz zeta; zeros hurwitz; asymptotic behavior; real zeros ... See more keywords
Limit formulas for multiple Hurwitz zeta functions
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DOI: 10.1016/j.jnt.2018.04.021
Abstract: Abstract We prove the limit formula for the multiple Hurwitz zeta function using absolute zeta functions. These formulas contain Euler's formula for the Euler constant proved in 1776. read more here.
Keywords: zeta functions; hurwitz zeta; limit formulas; formulas multiple ... See more keywords
On multiple Hurwitz zeta function of Mordell–Tornheim type
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DOI: 10.1142/s1793042121500913
Abstract: We introduce a certain multiple Hurwitz zeta function as a generalization of the Mordell–Tornheim multiple zeta function, and study its analytic properties. In particular, we evaluate the values of the function and its first and… read more here.
Keywords: hurwitz zeta; zeta; zeta function; multiple hurwitz ... See more keywords
Some approximations with Hurwitz zeta function
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DOI: 10.2298/fil2002528a
Abstract: In this paper, we focus on some approximations with Hurwitz zeta function. By using these approximations, we present some asymptotic formulae related to Hurwitz zeta function. As an application, we give two corollaries related to… read more here.
Keywords: zeta function; hurwitz zeta; approximations hurwitz;
The Mean Square of the Hurwitz Zeta-Function in Short Intervals
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DOI: 10.3390/axioms13080510
Abstract: The Hurwitz zeta-function ζ(s,α), s=σ+it, with parameter 0 read more here.
Keywords: hurwitz zeta; function; mean square; zeta ... See more keywords
Joint Discrete Approximation by Shifts of Hurwitz Zeta-Function: The Case of Short Intervals
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DOI: 10.3390/math13223654
Abstract: Since 1975, it has been known that the Hurwitz zeta-function has a unique property to approximate by its shifts all analytic functions defined in the strip D={s=σ+it:1/2 read more here.
Keywords: hurwitz zeta; case; approximation; short intervals ... See more keywords
Joint Approximation by the Riemann and Hurwitz Zeta-Functions in Short Intervals
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DOI: 10.3390/sym16121707
Abstract: In this study, the approximation of a pair of analytic functions defined on the strip {s=σ+it∈C:1/2 read more here.
Keywords: hurwitz zeta; riemann hurwitz; zeta functions; approximation ... See more keywords
Joint Discrete Approximation by the Riemann and Hurwitz Zeta Functions in Short Intervals
Sign Up to like & getrecommendations! Published in 2025 at "Symmetry"
DOI: 10.3390/sym17101662
Abstract: In this paper, we prove the theorems on the simultaneous approximation of a pair of analytic functions by discrete shifts (ζ(s+ikh1),ζ(s+ikh2,α)), h1>0, h2>0 of the Riemann zeta function ζ(s) and Hurwitz zeta function ζ(s,α). The… read more here.
Keywords: approximation; hurwitz zeta; riemann; zeta ... See more keywords