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Published in 2017 at "Results in Mathematics"
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…
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Keywords:
zeta function;
hurwitz zeta;
zeta;
discrete universality ... See more keywords
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Published in 2019 at "Results in Mathematics"
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…
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Keywords:
zeta function;
hurwitz zeta;
approximants hurwitz;
remainder pad ... See more keywords
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2
Published in 2021 at "Lithuanian Mathematical Journal"
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…
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Keywords:
zeta function;
hurwitz zeta;
expansion;
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1
Published in 2019 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2018.12.001
Abstract: Let $0
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Keywords:
hurwitz zeta;
zeros hurwitz;
asymptotic behavior;
real zeros ... See more keywords
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1
Published in 2018 at "Journal of Number Theory"
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.
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Keywords:
zeta functions;
hurwitz zeta;
limit formulas;
formulas multiple ... See more keywords
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Published in 2021 at "International Journal of Number Theory"
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…
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Keywords:
hurwitz zeta;
zeta;
zeta function;
multiple hurwitz ... See more keywords
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Published in 2020 at "Filomat"
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…
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Keywords:
zeta function;
hurwitz zeta;
approximations hurwitz;