Results 31 to 40 of about 12,228,153 (333)
On a question of A. Schinzel: Omega estimates for a special type of arithmetic functions
Open Mathematics, 2013 Kühleitner Manfred, Nowak Werner
doaj +2 more sources
Objects generated by an arbitrary natural number. Part 4: New aspects [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 [5, 6], some arithmetic functions and arithmetic operators of a modal and topological types are defined over the elements of Set(n).
Krassimir Atanassov
doaj +1 more source
On an additive arithmetic function [PDF]
Pacific Journal of Mathematics, 1977 Let \(n\) be a positive integer, \(n=\prod\limits_{i=1}^rp_i^{\alpha_i}\) in canonical form, and let \(A(n)=\sum\limits_{i=1}^r\alpha_ip_i\). Clearly \(A\) is an additive arithmetic function.
Alladi, K., Erdős, P.
openaire +2 more sources
The Arithmetic Optimization Algorithm
Computer Methods in Applied Mechanics and Engineering, 2021 This work proposes a new meta-heuristic method called Arithmetic Optimization Algorithm (AOA) that utilizes the distribution behavior of the main arithmetic operators in mathematics including (Multiplication ( M ), Division ( D ), Subtraction ( S ), and ...
L. Abualigah +6 more
semanticscholar +1 more source
MEAN VALUES OF ARITHMETIC FUNCTIONS IN SHORT INTERVALS AND IN ARITHMETIC PROGRESSIONS IN THE LARGE‐DEGREE LIMIT [PDF]
Mathematika, 2018 A classical problem in number theory is showing that the mean value of an arithmetic function is asymptotic to its mean value over a short interval or over an arithmetic progression, with the interval as short as possible or the modulus as large as ...
O. Gorodetsky
semanticscholar +1 more source
Mean values for a class of arithmetic functions in short intervals [PDF]
Mathematische Nachrichten, 2018 In this paper, we shall establish a rather general asymptotic formula in short intervals for a class of arithmetic functions and announce two applications about the distribution of divisors of square‐full numbers and integers representable as sums of two
Jie Wu, Qiang Wu
semanticscholar +1 more source
On two inequalities for the composition of arithmetic functions [PDF]
, 2012 A paper about two inequalities for the composition of arithmetic ...
József Sándor, Sandor, Jozsef
core +1 more source
On certain bounds for the divisor function [PDF]
Notes on Number Theory and Discrete MathematicsWe offer various bounds for the divisor function d(n), in terms of n, or other arithmetical functions.
József Sándor
doaj +1 more source
GEOMETRIC THEOREMS, DIOPHANTINE EQUATIONS, AND ARITHMETIC FUNCTIONS [PDF]
, 2002 This book contains short notes or articles, as well as studies on several topics of Geometry and Number theory. The material is divided into ve chapters: Geometric theorems; Diophantine equations; Arithmetic functions; Divisibility properties of numbers ...
Sándor, József
core +1 more source
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
doaj +1 more source