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Graphical shell for constructing user-entered arithmetic functions
Adaptivni Sistemi Avtomatičnogo Upravlinnâ, 2023 The article has a relevant topic in the scientific and practical aspect development of a graphical shell of a software application for constructing functions of two variables entered by the user.
V. Smolij, N. Smolij, О. Lisovychenko
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Computing zeta functions of arithmetic schemes [PDF]
, 2015 We present new algorithms for computing zeta functions of algebraic varieties over finite fields. In particular, let X be an arithmetic scheme (scheme of finite type over Z), and for a prime p let zeta_{X_p}(s) be the local factor of its zeta function ...
Harvey, David
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Correlations of sums of two squares and other arithmetic functions in function fields [PDF]
, 2017 We investigate a function field analogue of a recent conjecture on autocorrelations of sums of two squares by Freiberg, Kurlberg and Rosenzweig, which generalizes an older conjecture by Connors and Keating.
L. Bary‐Soroker, Arno Fehm
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A Note about Iterated Arithmetic Functions [PDF]
, 2015 Let $f\colon\mathbb{N}\rightarrow\mathbb{N}_0$ be a multiplicative arithmetic function such that for all primes $p$ and positive integers $\alpha$, $f(p^{\alpha})
Defant, Colin
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IEEE International Conference on Application-Specific Systems, Architectures, and Processors, 2019 Stochastic computing (SC) has emerged as a potential alternative to binary computing for a number of low-power embedded systems, DSP, neural networks and communications applications.
Tieu-Khanh Luong +3 more
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Ray casting implicit fractal surfaces with reduced affine arithmetic [PDF]
, 2007 A method is presented for ray casting implicit surfaces defined by fractal combinations of procedural noise functions. The method is robust and uses affine arithmetic to bound the variation of the implicit function along a ray.
Gamito, M.N., Maddock, S.C.
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Recurrence relations for polynomials obtained by arithmetic functions
International Journal of Number Theory, 2019 Families of polynomials associated to arithmetic functions [Formula: see text] are studied. The case [Formula: see text], the divisor sum, dictates the non-vanishing of the Fourier coefficients of powers of the Dedekind eta function.
B. Heim, F. Luca, M. Neuhauser
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On the variance of sums of arithmetic functions over primes in short intervals and pair correlation for L‐functions in the Selberg class [PDF]
Journal of the London Mathematical Society, 2015 We establish the equivalence of conjectures concerning the pair correlation of zeros of L ‐functions in the Selberg class and the variances of sums of a related class of arithmetic functions over primes in short intervals.
H. Bui, J. Keating, D. Smith
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Properties of rational arithmetic functions
International Journal of Mathematics and Mathematical Sciences, 2005 Rational arithmetic functions are arithmetic functions of the form g1∗⋯∗gr∗h1−1∗⋯∗hs−1, where gi, hj are completely multiplicative functions and ∗ denotes the Dirichlet convolution. Four aspects of these functions are studied.
Vichian Laohakosol, Nittiya Pabhapote
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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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