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The Selberg Z-Function. Local Approach

Journal of Mathematical Sciences, 2002
The Selberg \(Z\)-function is defined by \[ Z_{m,n}(s)=\sum_{c=1}^\infty\frac{S(m, n; c)}{c^{2s}},\quad\Re s>3/4, \] where \(S(m, n; c)\) is the Kloosterman sum. \textit{A. Selberg} [Proc. Sympos. Pure Math. 8, 1--15 (1965; Zbl 0142.33903)] extended this function to the half-plane \(\Re s\leq3/4\). \textit{D. Goldfeld} and \textit{P.
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On the functional equation $f^n(z)+g^n(z)=e^{��z+��}$

2016
We describe meromorphic solutions to the equations $f^n(z)+\left(f'\right)^n(z)=e^{ z+ }$ and $f^n(z)+f^n(z+c)=e^{ z+ }$ ($c\neq0$) over the complex plane $\mathbf{C}$ for integers $n\geq1$.
Han, Qi, L��, Feng
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Ergodic functions over Z

Journal of Number Theory, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On Fixed Points of Meromorphic Functions f(z) and f(z + c), Δcf(z)

Acta Mathematica Scientia, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Lan, Shuangting, Chen, Zongxuan
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Representations of the Functions Sinh Z, Cosh Z, Sin Z, and Cos Z by Continued Fractions

Ukrainian Mathematical Journal, 2018
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Generic constructions of $$\mathbb {Z}$$-bent functions

Designs, Codes and Cryptography, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S. Hodžić, E. Pasalic, S. Gangopadhyay
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On the functional \(zf'(z)/f(z)\) over functions with positive real part

1993
The author gives an explicit description of the range of \({zf'(z)\over f(z)}\), where \(z\) is fixed, \(|z|
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Inverse \(Z\) transform for probability mass functions

2000
Here numerical inversion of one sided \(Z\) transform is considered. The approximate analytical form is obtained by resorting to maximum entropy principle so that the resulting approximating mass function satisfies the required probabilistic property of positivity. Some results concerning existence and convergence are reviewed.
M. Frontini, Tagliani, Aldo
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Metaphysics Z.11 and Functionalism

2013
Aristotle’s dialectical flirtation with compositional plasticity regarding humans in Metaphysics, Z.11 would appear to lend support to the claim that he subscribes to the idea that humans are functional kinds that supervene on their material constituents, more specifically that he subscribes to the idea that psychological states are functional states ...
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The Z-Function

2005
Robert U. Ayres, Katalin Martinás
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