Results 81 to 90 of about 7,133 (231)
Euler Numbers and Polynomials Associated with Zeta Functions
Abstract and Applied Analysis, 2008 For s∈ℂ, the Euler zeta function and the Hurwitz-type Euler zeta function are defined by ζE(s)=2∑n=1∞((−1)n/ns), and ζE(s,x)=2∑n=0∞((−1)n/(n+x)s). Thus, we note that the Euler zeta functions are entire functions in whole complex s-plane, and these zeta ...
Taekyun Kim
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Asymptotic expansions of the Hurwitz–Lerch zeta function
Journal of Mathematical Analysis and Applications, 2004 In the paper, a generalization of the asymptotic expansions obtained by \textit{M.~Katsurada} [Proc.~Japan Acad. 74, No. 10, 167--170 (1998; Zbl 0937.11035)] and \textit{D.~Klusch} [J.~Math. Anal. Appl. 170, No. 2, 513--523 (1992; Zbl 0763.11036)] for the Lipschitz-Lerch zeta function \[ R(a, x, s)\equiv\sum_{k=0}^\infty {e^{2k\pi ix}\over (a+k)^s ...
Ferreira, Chelo, López, José L.
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha +2 more
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Safety Filters Against Actuator Attacks
International Journal of Robust and Nonlinear Control, Volume 35, Issue 9, Page 3640-3657, June 2025.ABSTRACT This manuscript focuses on mitigating the effect of deception attacks on control signals, that is, in the presence of an adversary that tampers with data coming from the controller to the system actuators in order to degrade the plant performance.
Cédric Escudero +4 more
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Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
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On a generalization of Euler's constant [PDF]
Surveys in Mathematics and its Applications, 2021 A one parameter generalization of Euler's constant γ from [Numer. Algorithms 46(2) (2007) 141--151] is investigated, and additional expressions for γ are derived.
Stephen Kaczkowski
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Note on the Hurwitz–Lerch Zeta Function of Two Variables [PDF]
, 2020 Junesang Choi +3 more
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Lp$L^p$‐norm bounds for automorphic forms via spectral reciprocity
Proceedings of the London Mathematical Society, Volume 130, Issue 6, June 2025.Abstract Let g$g$ be a Hecke–Maaß cusp form on the modular surface SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$, namely an L2$L^2$‐normalised non‐constant Laplacian eigenfunction on SL2(Z)∖H$\operatorname{SL}_2(\mathbb {Z}) \backslash \mathbb {H}$ that is additionally a joint eigenfunction of every Hecke operator. We prove the L4$L^
Peter Humphries, Rizwanur Khan
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Some formulas related to Hurwitz–Lerch zeta functions [PDF]
The Ramanujan Journal, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Jacobian elliptic fibrations on K3s with a non‐symplectic automorphism of order 3
Mathematische Nachrichten, Volume 298, Issue 5, Page 1758-1788, May 2025.Abstract Let X$X$ be a K3 surface admitting a non‐symplectic automorphism σ$\sigma$ of order 3. Building on work by Garbagnati and Salgado, we classify the Jacobian elliptic fibrations on X$X$ with respect to the action of σ$\sigma$ on their fibers. If the fiber class of a Jacobian elliptic fibration on NS(X)$\operatorname{NS}(X)$ is fixed by σ$\sigma$,
Felipe Zingali Meira
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