Results 271 to 280 of about 490,742 (319)

Additive Arithmetic Functions on Arithmetic Progressions

Proceedings of the London Mathematical Society, 1987
For an additive arithmetic function f, and positive integer D, let E(x,D) be \[ \max_{y\leq x}\max_{(r,D)=1}| \sum_{n\leq y,\quad n\equiv r (mod D)}f(n)-(1/\phi (D))\sum_{n\leq y,\quad (n,D)=1}f(n)|. \] Strengthening results from Chapter 7 of his monograph ''Arithmetic functions and integer products'' (1985; Zbl 0559.10032), the author proves that for ...
openaire   +2 more sources

Arithmetical Functions

1994
The aim of this book is to characterize certain multiplicative and additive arithmetical functions by combining methods from number theory with some simple ideas from functional and harmonic analysis. The authors achieve this goal by considering convolutions of arithmetical functions, elementary mean-value theorems, and properties of related ...
Wolfgang Schwarz, Jürgen Spilker
openaire   +1 more source

Arithmetic Functions

2018
We call an arithmetic function any application from ℕ∗ to ℂ.
openaire   +2 more sources

Arithmetic functions

2023
openaire   +2 more sources

Arithmetical Functions and Distributivity

Canadian Mathematical Bulletin, 1970
In this note we shall present a result about incidence functions on a locally finite partially ordered set, a result which is related to theorems of Lambek [2] and Subbarao [6]. Our terminology and notation will be that of Smith [4, 5] and Rota [7].Let (L, ≤) be a partially ordered set which is locally finite in the sense that for all x, y ∊ L the ...
openaire   +2 more sources

The Arithmetic Optimization Algorithm

Computer Methods in Applied Mechanics and Engineering, 2021
Laith Mohammad Abualigah, Ali H Diabat, Seyedali Mirjalili   +2 more
exaly  

Arithmetical functions. I

The author plans a series of three articles on the theory of arithmetical functions, of which the present one is the first. The paper is expository at the introductory level. This first part deals with some problems of elementary number theory.
openaire   +2 more sources

Arithmetic Functions

2020
openaire   +2 more sources

MXene Ti3C2 memristor for neuromorphic behavior and decimal arithmetic operation applications

Nano Energy, 2021
Jingsheng Chen, Xiaobing Yan
exaly  

An improved Artificial Neural Network using Arithmetic Optimization Algorithm for damage assessment in FGM composite plates

Composite Structures, 2021
Samir Tiachacht, Emad E Ghandourah, Seyedali Mirjalili   +2 more
exaly