Results 21 to 30 of about 11,284,975 (381)
On a certain class of arithmetic functions [PDF]
Mathematica Bohemica, 2017 A homothetic arithmetic function of ratio $K$ is a function $f \mathbb{N}\rightarrow R$ such that $f(Kn)=f(n)$ for every $n\in\mathbb{N}$. Periodic arithmetic funtions are always homothetic, while the converse is not true in general.
Antonio M. Oller-Marcén
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A Multivariate Arithmetic Function of Combinatorial and Topological Significance [PDF]
Integers, 2009 We investigate properties of a multivariate function E (m 1, m 2, …, m r), called orbicyclic, that arises in enumerative combinatorics in counting non-isomorphic maps on orientable surfaces.
V. Liskovets
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Certifying Zeros of Polynomial Systems Using Interval Arithmetic [PDF]
ACM Transactions on Mathematical Software, 2020 We establish interval arithmetic as a practical tool for certification in numerical algebraic geometry. Our software HomotopyContinuation.jl now has a built-in function certify, which proves the correctness of an isolated nonsingular solution to a square
Paul Breiding, Kemal Rose, S. Timme
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Exponential sums involving the divisor function over arithmetic progressions
AIMS Mathematics, 2023 Let $ \phi(x) $ be a smooth function supported on $ [1, 2] $ with derivatives bounded by $ \phi^{(j)}(x)\ll 1 $ and $ d_3(n) $ be the number of ways to write $ n $ as a product of three factors. We get the asymptotic formula for the nonlinear exponential
Rui Zhang , Yang Li, Xiaofei Yan
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On Certain Arithmetic Functions [PDF]
, 2000 In the recent book there appear certain arithmetic functions which are similar to the Smarandache function. In a recent paper we have considered certain generalization or duals of the Smarandache function.
Sandor, J.
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Real-time numerical system convertor via two-dimensional WS2-based memristive device
Frontiers in Computational Neuroscience, 2022 The intriguing properties of two-dimensional (2D) transition metal dichalcogenides (TMDCs) enable the exploration of new electronic device architectures, particularly the emerging memristive devices for in-memory computing applications. Implementation of
Xing Xin +10 more
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Asymptotical expansions in the Kubilius theorem of large deviations
Lietuvos Matematikos Rinkinys, 2005 In the present paper, a local theorem of large deviations for arithmetic functions defined in Knopfmacher’s semigroup is obtained.
Rimantas Skrabutėnas
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Alifmatika, 2021 This study aimed to analyze the level of students' metacognition skills and creative thinking in the generalization of a two-dimensional arithmetic sequence. A qualitative descriptive is a scientific approach used in this study.
Mohammad Tohir, Muhasshanah Muhasshanah
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Multidimensional local theorem in the Knopfmachers semigroup
Lietuvos Matematikos Rinkinys, 2007 In the presentpaper a multidimensionallocal theorem for arithmetic functions definedin the Knopfmachers semigroup G is obtained.
Rimantas Skrabutėnas
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Computation Over Gaussian Networks With Orthogonal Components [PDF]
, 2013 Function computation of arbitrarily correlated discrete sources over Gaussian networks with orthogonal components is studied. Two classes of functions are considered: the arithmetic sum function and the type function.
Chien-yi Wang +3 more
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