Results 31 to 40 of about 11,284,975 (381)
Further Results on a Curious Arithmetic Function
Journal of Mathematics, 2020 Let p be an odd prime number and n be a positive integer. Let vpn, N∗, and Q+ denote the p-adic valuation of the integer n, the set of positive integers, and the set of positive rational numbers, respectively.
Long Chen, Kaimin Cheng, Tingting Wang
doaj +1 more source
The local limit theorem of Delange in the Knopfmacher's semigroup
Lietuvos 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
IET 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
Sieve functions in arithmetic bands [PDF]
Hardy-Ramanujan Journal, 2017 An arithmetic function f is a sieve function of range Q, if its Eratosthenes transform g = f * µ is supported in [1, Q]∩N, where g(q) ε q ε , ∀ε > 0. Here, we study the distribution of f over the so-called short arithmetic bands 1≤a≤H {n ∈ (N, 2N ] : n ≡ a (mod q)}, with H = o(N), and give applications to both the correlations and to the so-called ...
Coppola, Giovanni, LAPORTA, MAURIZIO
openaire +6 more sources
Associated Graphs of Certain Arithmetic IASI Graphs [PDF]
, 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]
Proceedings 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
Research on the security of national secret algorithm based compute first networking
Dianxin 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
Arithmetic functions and their coprimality [PDF]
Functiones 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
Ray casting implicit fractal surfaces with reduced affine arithmetic [PDF]
, 2007 A method is presented for ray casting implicit surfaces defined by fractal combinations of procedural noise functions. The method is robust and uses affine arithmetic to bound the variation of the implicit function along a ray.
Gamito, M.N., Maddock, S.C.
core +2 more sources
Gaussian distribution for the divisor function and Hecke eigenvalues in arithmetic progressions [PDF]
, 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