Results 71 to 80 of about 2,152 (201)
On the product of Hurwitz zeta-functions
Corresponding to the lattice point problem for a random sphere Kendall and Rankin [8], Nakajima [9] considered the summatory function of the coefficients of the product of two Hurwitz zeta-functions and obtained the Bessel series expression. In this note we treat the case of the product of $\varkappa$ Hurwitz zeta-functions for an arbitrary integer ...
Wang, Nian Liang, Banerjee, Soumyarup
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Mitigating Black Pod Disease in Cocoa Plants: An Optimal Control and Cost‐Effectiveness Analysis
ABSTRACT Black pod disease (BPD), caused by Phytophthora species, continues to pose a significant threat to cocoa production, particularly in tropical regions where cocoa farming is a major economic activity. This study develops a deterministic compartmental model to understand the transmission dynamics of BPD and evaluate the impact of multiple ...
Bernard Asamoah Afful
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Integral representations of the hurwitz zeta-function. [PDF]
Integral representations of the Hurwitz zeta ...
Požaricka, Lilija,
core
Universality Theorems for Some Composite Functions
In [5], it was proved that a collection consisting from Dirichlet L-functions and periodic Hurwitz zeta-functions is universal in the sense that the shifts of those functions approximate simultaneously a given collection of analytic functions.
Kęstutis Janulis +3 more
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Sharp Inequalities for the Hurwitz Zeta Function
Let \[ Q_{n,m}(p,a)=\left ({\zeta(p,a) - \sum_{\nu=0}^{n}(\nu+a)^{-p}}\over{\zeta(p,a) - \sum_{\nu=0}^{m}(\nu+a)^{-p}}\right )^{1\over{p-1}}, \] where \(m,n\in {\mathbb Z}\) with \(m>n \geq 0, p>1, a>0\) and \(\zeta(s,a) (s\in{\mathbb C},a>0)\) denotes the Hurwitz zeta function.
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Complex B-splines and Hurwitz zeta functions [PDF]
AbstractWe characterize nonempty open subsets of the complex plane where the sum $\zeta (s, \alpha )+ {e}^{\pm i\pi s} \hspace{0.167em} \zeta (s, 1- \alpha )$ of Hurwitz zeta functions has no zeros in $s$ for all $0\leq \alpha \leq 1$. This problem is motivated by the construction of fundamental cardinal splines of complex order $s$.
Brigitte Forster +3 more
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On the fixed‐point proportion of self‐similar groups
Abstract We prove that super strongly fractal groups acting on regular rooted trees have null fixed‐point proportion. In particular, we show that the fixed‐point proportion of an infinite family of iterated monodromy groups of exceptional complex polynomials has the same property.
Jorge Fariña‐Asategui, Santiago Radi
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Note on the Hurwitz zeta-function [PDF]
Received by the editors June 10, 1950. 1 This work is an offshoot of investigations carried out under the auspices of the Office of Naval Research, Contract N9-ONR90,000. 2 B. Riemann, Ueber die Anzahl der Primzahlen unter einer gegebenen Grbsse, Monatsberichte der Preussischeni Akademie der Wissenschaften (1859, 1860) pp. 671680. 3A.
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An elegant model of the geodesic flow on the modular surface
Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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Sweetosomes, a new class of fucose‐decorated liposomes, are developed via a one‐step microfluidic process without surface chemistry. This study elucidates their main caveolae‐mediated entry and distinct endosomal trafficking. These nanostructures demonstrate superior endosomal escape, organelle acidity modulation, and prolonged plasma persistence ...
Mattia Tiboni +13 more
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