Results 71 to 80 of about 850 (200)
A Weighted Universality Theorem for Periodic Zeta-Functions
Mathematical Modelling and Analysis, 2017 The periodic zeta-function ζ(s; a), s = σ + it is defined for σ > 1 by the Dirichlet series with periodic coefficients and is meromorphically continued to the whole complex plane.
Renata Macaitienė +2 more
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Note on the Hurwitz zeta-function [PDF]
Proceedings of the American Mathematical Society, 1951 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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On the canonical bundle formula in positive characteristic
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Let f:X→Z$f:X\to Z$ be a fibration from a normal projective variety X$X$ of dimension n$n$ onto a normal curve Z$Z$ over a perfect field of characteristic p>2$p>2$. Let (X,B)$(X,B)$ be a dlt pair such that the induced pair on a general fibre is log canonical.
Marta Benozzo
wiley +1 more source
Monotonicity Properties of the Hurwitz Zeta Function [PDF]
, 2005 Letbe the Hurwitz zeta function and letwhereα, β> 1 anda,b> 0 are real numbers. We prove: (i) The functionQis decreasing on (0, ∞) iffαa−βb≥ max(a−b, 0). (ii)Qis increasing on (0, ∞) iffαa−βb≤ min(a−b, 0).
Horst Alzer
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Partial Sums of the Hurwitz and Allied Functions and Their Special Values
MathematicsWe supplement the formulas for partial sums of the Hurwitz zeta-function and its derivatives, producing more integral representations and generic definitions of important constants.
Nianliang Wang +2 more
doaj +1 more source
, 2011 We give new integral and series representations of the Hurwitz zeta function. We also provide a closed-form expression of the coefficients of the Laurent expansion of the Hurwitz-zeta function about any point in the complex plane.
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Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic
Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley +1 more source
Adaptive mixing formation control of multiquadrotor unmanned aerial vehicle systems
Asian Journal of Control, Volume 28, Issue 3, Page 1073-1085, May 2026.Abstract This paper presents a distributed adaptive mixing control (AMC) design for formation maintenance of systems of multiquadrotor UAVs (q‐UAVs) during commanded path‐tracking maneuvers. The proposed formation control scheme has a two‐level structure. The high level defines the desired trajectories for rigid and persistent formation acquisition and
Nasrettin Köksal +2 more
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Universality theorems for the periodic Hurwitz zeta-function. [PDF]
, 2018 The periodic Hurwitz zeta-function is a generalization of the classical Hurwitz zeta-function. It is defined by the Dirichlet series depending on a fixed parameter with periodic coefficients.
Mochov, Dmitrij,
core
A Probabilistic Interpretation of the Hurwitz Zeta Function
Advances in Mathematics, 1993 Es sei \(\chi_ A\) die charakteristische Funktion einer Menge \(A\subset\mathbb{R}\). \textit{S. W. Golomb} [J. Number Theory 2, 189-192 (1970; Zbl 0198.381)] definierte bei beliebigem \(s>1\) auf \(\mathbb{N}\) das Wahrscheinlichkeitsmaß \[ Q_ s(A)={1\over {\zeta(s)}} \sum_{n=1}^ \infty \chi_ A(n)n^{-s} \qquad (A\subset\mathbb{N}).
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