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Functional independence of the Riemann zeta- and the periodic Hurwitz zeta-functions. [PDF]
, 2016 It is proved the functional independence of the Riemann zeta- and the periodic Hurwitz zeta ...
Rapimbergaitė, Sandra,
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The mixed joint functional independence of the Riemann zeta- and periodic Hurwitz zeta-functions [PDF]
Чебышевский сборник, 2016 The functional independence of zeta-functions is an interesting nowadays problem. This problem comes back to D. Hilbert. In 1900, at the International Congress of Mathematicians in Paris, he conjectured that the Riemman zeta-function does not satisfy any algebraic-differential equation. This conjecture was solved by A. Ostrowski. In 1975, S.M.
KAˇCINSKAIT˙E ROMA +1 more
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Integral representations of the hurwitz zeta-function. [PDF]
, 2017 Integral representations of the Hurwitz zeta ...
Požaricka, Lilija,
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Functional equations for zeta functions of groups and rings [PDF]
, 2010 We introduce a new method to compute explicit formulae for various zeta functions associated to groups and rings. The specific form of these formulae enables us to deduce local functional equations. More precisely, we prove local functional equations for
Voll, C., Voll, Christopher
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Investigations of the asymptotic behaviour of periodic Hurwitz zeta-functions. [PDF]
, 2018 In the thesis, limit theorems on the weak convergence of probability measures on the complex plane for periodic Hurwitz zeta-functions are ...
Rimkevičienė, Audronė,
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Asymptotic Analysis of Regular Sequences. [PDF]
Algorithmica, 2020 Heuberger C, Krenn D.
europepmc +1 more source
Joint discrete universality for periodic zeta-functions
, 2019 In the paper, joint universality theorems for periodic zeta functions with multiplicative coefficients and periodic Hurwitz zeta-functions are proved. The main theorem of [11] is extended, and two new joint universality theorems on the approximation of a
Laurinčikas, Antanas
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Zeros of Hurwitz zeta functions
, 1976 All complex zeros of each Hurwitz zeta function are shown to lie in a vertical strip. Trivial real zeros analogous to those for the Riemann zeta function are found. Zeros of two particular Hurwitz zeta functions are calculated.
Robert Spira
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Moments of the Hurwitz zeta function on the critical line
, 2023 The Hurwitz zeta function is a shifted integer analogue of the Riemann zeta function, for shift parameters 0\u3c α ≤ 1. We consider the integral moments of the Hurwitz zeta function on the critical line ℛ(s)=½. We will focus on rational shift parameters.
Sahay, Anurag
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On a Certain Extension of the Hurwitz-Lerch Zeta Function
, 2014 Our purpose in this paper is to consider a generalized form of the extended Hurwitz-Lerch Zeta function. For this extended Hurwitz-Lerch Zeta function, we obtain some classical properties which includes various integral representations, a differential ...
Parmar Rakesh K., Raina R. K.
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