Results 31 to 40 of about 10,834,928 (363)

Arithmetic of function field units [PDF]

open access: yes, 2015
We introduce the module of Stark units associated to a Drinfeld module defined over the ring of integers of a global function field. We investigate the arithmetic properties of these objects, and as an application, we prove a “discrete analogue” for ...
Bruno Anglès, F. Tavares Ribeiro
semanticscholar   +1 more source

The local limit theorem of Delange in the Knopfmacher's semigroup

open access: yesLietuvos Matematikos Rinkinys, 2004
An asymptotic formula of the mean value of multiplicative arithmetic function from the class Ma(G)  with asymptotical expansion of the main term is obtained. In the present paper the local limit theorem of the H. Delange type is proved.
Rimantas Skrabutėnas
doaj   +1 more source

Non‐interactive integrated membership authentication and group arithmetic computation output for 5G sensor networks

open access: yesIET Communications, 2021
Group‐oriented applications show its potential ability in the next generation of wireless sensor networks (5G WSNs), which have the particularity of being heterogeneous and so have different capabilities in terms of storage, computing, communicating and ...
Chingfang Hsu   +4 more
doaj   +1 more source

Associated Graphs of Certain Arithmetic IASI Graphs [PDF]

open access: yes, 2014
An integer additive set-indexer is defined as an injective function $f:V(G)\rightarrow 2^{\mathbb{N}_0}$ such that the induced function $f^+:E(G) \rightarrow 2^{\mathbb{N}_0}$ defined by $f^+ (uv) = f(u)+ f(v)$ is also injective. A graph $G$ which admits
Germina, K. A., Sudev, N. K.
core   +3 more sources

On the Arithmetic of Abelina Functions [PDF]

open access: yesProceedings of the National Academy of Sciences, 1927
Systematic application of abelian functions to the theory of numbers discloses many new arithmetical phenomena of considerable interest. Particularly is this the case when the periods of the functions are connected by one or more singular relations in the usual sense.
openaire   +3 more sources

Arithmetic functions and their coprimality [PDF]

open access: yesFunctiones et Approximatio Commentarii Mathematici, 2011
Let D > 3 be an odd integer and ' > i1 be a non zero integer such that gcd(';D) = 1. Let f;g :N !N be multiplicative functions such that f(p) = D and g(p) = p+' for each prime p. We estimate the number of positive integers n 6 x such that gcd(f(n);g(n)) = 1.
De Koninck, Jean-Marie, Kátai, Imre
openaire   +2 more sources

Research on the security of national secret algorithm based compute first networking

open access: yesDianxin kexue, 2023
With the promotion of national secret algorithm, in-depth research on the arithmetic network was carried out, a more efficient and reasonable security scheme for the arithmetic network was proposed, ensuring the data security and privacy of the ...
Jie PAN   +3 more
doaj   +2 more sources

Algebraic independence of arithmetic gamma values and Carlitz zeta values [PDF]

open access: yes, 2008
We consider the values at proper fractions of the arithmetic gamma function and the values at positive integers of the zeta function for F_q[theta] and provide complete algebraic independence results for them.Comment: 15 ...
Chang, Chieh-Yu   +3 more
core   +4 more sources

Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions [PDF]

open access: yes, 2013
We show that, in a restricted range, the divisor function of integers in residue classes modulo a prime follows a Gaussian distribution, and a similar result for Hecke eigenvalues of classical holomorphic cusp forms.
'Etienne Fouvry   +3 more
semanticscholar   +1 more source

Arithmetic convergent sequence space defined by modulus function

open access: yesBoletim da Sociedade Paranaense de Matemática, 2019
The aim of this article is to introduce the sequence spaces $AC(f)$ and $AS(f)$ using arithmetic convergence and modulus function, and study algebraic and topological properties of this space, and certain inclusion results.
Taja Yaying, Bipan Hazarika
doaj   +1 more source

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