Results 41 to 50 of about 75,035 (162)

An arithmetic term for the factorial function

Examples and Counterexamples
As proved by Marchenkov and Mazzanti, every Kalmar function can be represented by arithmetic terms. We display one of such terms to represent the factorial function, and as a consequence, we get an example of an arithmetic term which represents a ...
Mihai Prunescu, Lorenzo Sauras-Altuzarra
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On Certain Arithmetic Functions

, 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. In this note we wish to point out that the arithmetic functions introduced all are particular cases of our function Fj, defined in the following ...
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Some new arithmetic functions [PDF]

Notes on Number Theory and Discrete Mathematics
We introduce and study some new arithmetic functions, connected with the classical functions φ (Euler's totient), ψ (Dedekind's function) and σ (sum of divisors function).
József Sándor, Krassimir Atanassov
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The Γ-function in the arithmetic of function fields

Duke Mathematical Journal, 1988
Let \({\mathbb{F}}_ q\) denote the finite field of q elements, \(A={\mathbb{F}}_ q[T]\), \(k={\mathbb{F}}_ q(T)\) and denote by \(k_ w\) the completion of k with respect to a valuation w of k. (Thus w is associated with a monic prime of A or, when \(w=\infty\), with 1/T.) The Carlitz zeta function of A is defined by \(\zeta_ A(s)=\sum f^{-s}, \) where ...
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Inequalities between some arithmetic functions, II [PDF]

Notes on Number Theory and Discrete Mathematics
As 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, József Sándor, Mladen Vassilev-Missana   +2 more
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Arithmetic in the developing brain: A review of brain imaging studies

Developmental Cognitive Neuroscience, 2018
Brain imaging studies on academic achievement offer an exciting window on experience-dependent cortical plasticity, as they allow us to understand how developing brains change when children acquire culturally transmitted skills. This contribution focuses
Lien Peters, Bert De Smedt
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Inequalities with Some Arithmetic Functions

Mathematics
In the paper, some new inequalities are formulated and proved with the classical arithmetic functions φ (of Euler) and ψ (of Dedekind).
József Sándor, Krassimir Atanassov
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Equivalent realisation circuit for a class of non-ideal voltage-controlled memristors

The Journal of Engineering, 2015
In this study, an equivalent realisation circuit with off-the-shelf components and devices is proposed, which can be used to equivalently implement a class of non-ideal voltage-controlled memristors.
Saihu Pan, Pan Jiang, Bocheng Bao
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Arithmetic of D-algebraic functions

Journal of Symbolic Computation
28 pages.
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Unification modulo presburger arithmetic and other decidable theories

Revista Colombiana de Computación, 2001
We present a general uni cation algorithm modulo Presburger Arithmetic for a re- stricted class of modularly speci ed theories where function symbols of the target theory have non arithmetic codomain sorts.
Mauricio Ayala Rincón, Ivan E. Tavares Araújo   +1 more
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