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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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Ramanujan expansions of arithmetic functions of several variables [PDF]
, 2017 We generalize certain recent results of Ushiroya concerning Ramanujan expansions of arithmetic functions of two variables. We also show that some properties on expansions of arithmetic functions of one and several variables using classical and unitary ...
L. Tóth
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Arithmetic functions in short intervals and the symmetric group [PDF]
Algebra & Number Theory, 2016 We consider the variance of sums of arithmetic functions over random short intervals in the function field setting. Based on the analogy between factorizations of random elements of $\mathbb{F}_q[T]$ into primes and the factorizations of random ...
Brad Rodgers
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Two arithmetic functions related to Euler's and Dedekind's functions [PDF]
Notes on Number Theory and Discrete MathematicsTwo new arithmetic functions are introduced. In some sense, they are modifications of Euler's and Dedekind's functions. Some properties of the new functions are studied.
Krassimir Atanassov
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Composite Rational Functions and Arithmetic Progressions [PDF]
, 2017 In this paper we deal with composite rational functions having zeros and poles forming consecutive elements of an arithmetic progression. We also correct a result published earlier related to composite rational functions having a fixed number of zeros ...
Tengely, Szabolcs
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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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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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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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