Results 11 to 20 of about 44,238 (260)
On certain arithmetical products involving the divisors of an integer [PDF]
Notes on Number Theory and Discrete MathematicsWe study the arithmetical products Π d^d, Πd^{1/d} and Πd^{log d}, where d runs through the divisors of an integer n>1.
József Sándor
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Inequalities between some arithmetic functions, II [PDF]
Notes on Number Theory and Discrete MathematicsAs a continuation of Part I (see [1]), we offer new inequalities for classical arithmetic functions such as the Euler's totient function, the Dedekind's psi function, the sum of the positive divisors function, the number of divisors function, extended ...
Krassimir Atanassov +2 more
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On certain inequalities for φ, ψ, σ and related functions, III [PDF]
Notes on Number Theory and Discrete MathematicsWe obtain generalizations of certain results from [2] and [4]. The unitary variants are also considered. Some new arithmetic functions and their inequalities are also considered.
József Sándor, Karol Gryszka
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Objects generated by an arbitrary natural number. Part 3: Standard modal-topological aspect [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The set Set(n), generated by an arbitrary natural number n, was defined in [3]. There, and in [4], some arithmetic functions and arithmetic operators of a modal type are defined over the elements of Set(n).
Krassimir Atanassov
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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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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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A Functional Equation in Arithmetic [PDF]
Transactions of the American Mathematical Society, 1936 which occurs in all theories of numerical functions hitherto considered. The two most highly developed theories of this kind are those in which multiplication in the ring of all numerical functions is abstractly identical with C (Cauchy) or D (Dirichlet) multiplication of infinite series.t Lehmer's five postulates are sufficient for the development of ...
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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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IEEE Access, 2020 Stochastic computing (SC) has been applied on the implementations of complex arithmetic functions. Complicated polynomial-based approximations lead to large hardware complexity of previous SC circuits for arithmetic functions.
Zidi Qin +6 more
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Divisibility of arithmetic functions [PDF]
Pacific Journal of Mathematics, 1984 A derivative-like operator on the Dirichlet ring of arithmetic functions is used to develop formulas for the greatest common divisor of certain arithmetic functions. It is conjectured that formulas of this type hold more generally.
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