Results 21 to 30 of about 2,871,972 (282)
Representation zeta functions of compact p-adic analytic groups and arithmetic groups [PDF]
, 2013 We introduce new methods from p-adic integration into the study of representation zeta functions associated to compact p-adic analytic groups and arithmetic groups.
Onn, Uri +3 more
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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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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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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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Function Interval Arithmetic [PDF]
, 2014 We propose an arithmetic of function intervals as a basis for convenient rigorous numerical computation. Function intervals can be used as mathematical objects in their own right or as enclosures of functions over the reals. We present two areas of application of function interval arithmetic and associated software that implements the arithmetic: (1 ...
Jan Duracz +3 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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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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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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A note on the approximation of divisor functions [PDF]
Notes on Number Theory and Discrete MathematicsWe offer an arithmetic proof of a result from the recent paper [1]. A more general result is provided, too.
József Sándor
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Monotonicity Results for Arithmetic Means of Concave and Convex Functions [PDF]
, 2006 By majorization approaches, some known results on monotonicity of the arithmetic means of convex and concave functions are proved and generalized once ...
Xu, Tie-Quan, Qi, Feng, Shi, Huan-Nan
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