Results 121 to 130 of about 1,091 (231)
Bounded exponential sums with multiplicative coefficients
Abstract We investigate when the exponential sum Sf(x,α):=∑n⩽xf(n)e(nα)$S_f(x,\alpha) := \sum _{n\leqslant x}f(n)\mathrm{e}(n\alpha)$ is bounded, for a multiplicative function f$f$ and α∈R$\alpha \in \mathbb {R}$. We show that under natural assumptions, Sf(x,α)$S_f(x,\alpha)$ is bounded only when f$f$ is very close to a twisted Dirichlet character χ(n ...
Péa Bazin, Ihor Pylaiev, Fred Tyrrell
wiley +1 more source
Inequalities between the arithmetic functions φ, ψ and σ. Part 1 [PDF]
Krassimir T. Atanassov, József Sándor
openaire +1 more source
Zeros of polynomials in derivatives of automorphic L$L$‐functions
Abstract Let Fm$\mathfrak {F}_m$ be the set of all cuspidal automorphic representations of GLm(AQ)$\mathrm{GL}_m(\mathbb {A}_{\mathbb {Q}})$, and let F(s,π)$F(s,\bm {\pi })$ be a polynomial in the derivatives of L$L$‐functions associated with representations π∈⋃m=1∞Fm$\pi \in \bigcup _{m=1}^{\infty } \mathfrak {F}_m$. We establish an asymptotic formula
Anji Dong +2 more
wiley +1 more source
Schematic diagram of the whale optimization algorithm (WOA)–optimized fuzzy proportional–integral–derivative (PID) controller. The WOA is employed to dynamically tune the scaling factor expressions and fuzzy control parameters (a(e)a(e), a(ec)a(ec), βpβp, βiβi), as well as the initial PID gains (kp0kp0, ki0ki0), based on the error (ee) and its ...
Xiaosong Tian +7 more
wiley +1 more source
ABSTRACT In this work, we present an extension of the semi‐discrete Lagrangian‐Eulerian numerical scheme for diffusive‐dispersive conservation law problems, including a jump discontinuous flux function. As in the one‐dimensional scalar hyperbolic case, the no‐flow curves also organize the geometry of the method.
Eduardo Abreu +2 more
wiley +1 more source
The Relative Importance of the Establishment in the Determination of Job Quality
ABSTRACT Using linked employer‐employee data from the British Workplace Employment Relations Survey, we examine how much of the variation in job quality is accounted for by establishment‐level variation and the relative importance of the establishment compared with occupation and employee characteristics. We do so for pay, six dimensions of non‐pay job
Alex Bryson, John Forth, Francis Green
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Computer-assisted construction of <i>SU</i>(2)-invariant negative Einstein metrics. [PDF]
Wang QS.
europepmc +1 more source
ABSTRACT Electrical and Computer Engineering (EE/CE) education encompasses the rigorous study of electronic systems, computing architectures, embedded platforms, signal processing and hardware–software integration. Its inherently multidisciplinary nature demands mastery of mathematical modelling and experimental validation skills that pose substantial ...
Abdulmalik Alwarafy
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On the Relativity of Quantumness as Implied by Relativity of Arithmetic and Probability. [PDF]
Czachor M.
europepmc +1 more source
ABSTRACT As artificial intelligence (AI) use becomes an everyday consumption practice, its environmental and psychological implications require greater attention. Unlike prior research that primarily treats AI as a tool for enabling sustainable choices, this study proposes a theoretical framework that draws on moral self‐regulation, climate psychology,
Vanessa Apaolaza +3 more
wiley +1 more source

