Results 21 to 30 of about 962,701 (301)
The arithmetic derivative and Leibniz-additive functions [PDF]
, 2018 An arithmetic function $f$ is Leibniz-additive if there is a completely multiplicative function $h_f$, i.e., $h_f(1)=1$ and $h_f(mn)=h_f(m)h_f(n)$ for all positive integers $m$ and $n$, satisfying $$ f(mn)=f(m)h_f(n)+f(n)h_f(m) $$ for all positive ...
Haukkanen, Pentti +2 more
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The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos Matematikos Rinkinys, 2004 An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G) with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
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Associated Graphs of Certain Arithmetic IASI Graphs [PDF]
, 2014 An integer additive set-indexer is defined as an injective function $f:V(G)\rightarrow 2^{\mathbb{N}_0}$ such that the induced function $f^+:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $f^+ (uv) = f(u)+ f(v)$ is also injective. A graph $G$ which admits
Germina, K. A., Sudev, N. K.
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Research on the security of national secret algorithm based compute first networking
Dianxin kexue, 2023 With the promotion of national secret algorithm, in-depth research on the arithmetic network was carried out, a more efficient and reasonable security scheme for the arithmetic network was proposed, ensuring the data security and privacy of the ...
Jie PAN +3 more
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Basic fuzzy arithmetic operations using α–cut for the gaussian membership function [PDF]
Journal of Fuzzy Extension and Applications, 2022 Currently fuzzy set theory has a wide range to model real life problems with incomplete or vague information which perfectly suits the reality and its application is theatrically increasing. This work explored the basic fuzzy operations with the Gaussian
Leonce Leandry +2 more
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Physical Review Research, 2023 Many computational problems can be formulated in terms of high-dimensional functions. Simple representations of such functions and resulting computations with them typically suffer from the “curse of dimensionality,” an exponential cost dependence on ...
Ruojing Peng +2 more
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Arithmetic convergent sequence space defined by modulus function
Boletim da Sociedade Paranaense de Matemática, 2019 The aim of this article is to introduce the sequence spaces $AC(f)$ and $AS(f)$ using arithmetic convergence and modulus function, and study algebraic and topological properties of this space, and certain inclusion results.
Taja Yaying, Bipan Hazarika
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Estimate of asymptotics of moments of arithmetic functions defined on an arithmetic progression and having a limit - normal distribution [PDF]
arXiv, 2021 We consider a method for estimating asymptotics of arithmetic functions on a arithmetic progression in the paper. This question is closely related with the distribution of primes. Problems often arise even with the definition of asymptotic of the mean value of arithmetic functions, and even more with the determination of asymptotics of moments of ...
arxiv
The theta invariants and the volume function on arithmetic varieties [PDF]
arXiv, 2022 We introduce a new arithmetic invariant for hermitian line bundles on an arithmetic variety. We use this invariant to measure the variation of the volume function with respect to the metric. The main result of this paper is a generalized Hodge index theorem on arithmetic toric varieties.
arxiv
A note on $(a,b)$-Fibonacci sequences and specially multiplicative arithmetic functions [PDF]
Mathematica BohemicaA specially multiplicative arithmetic function is the Dirichlet convolution of two completely multiplicative arithmetic functions. The aim of this paper is to prove explicitly that two mathematical objects, namely $(a,b)$-Fibonacci sequences and ...
Emil Daniel Schwab, Gabriela Schwab
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