Results 1 to 10 of about 10,897,818 (274)
On an additive arithmetic function [PDF]
Pacific Journal of Mathematics, 1977 We discuss in this paper arithmetic properties of the function A(n) = Σ p a Un ap. Asymptotic estimates of A(n) reveal the connection between A(n) and large prime factors of n.
Krishnaswami Alladi, P. Erdős
semanticscholar +6 more sources
Arithmetic Subderivatives and Leibniz-Additive Functions [PDF]
arXiv, 2019 We first introduce the arithmetic subderivative of a positive integer with respect to a non-empty set of primes. This notion generalizes the concepts of the arithmetic derivative and arithmetic partial derivative. More generally, we then define that an arithmetic function $f$ is Leibniz-additive if there is a nonzero-valued and completely ...
J. Merikoski +2 more
arxiv +3 more sources
Function Interval Arithmetic [PDF]
International Congress on Mathematical Software, 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 ...
Duracz, Jan +3 more
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Arithmetic of function field units [PDF]
Mathematische Annalen, 2016 We prove a "discrete analogue" for Taelman's class modules of certain Conjectures formulated by R. Greenberg for cyclotomic fields.
Anglès, Bruno, Tavares Ribeiro, Floric
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A remark on Fine's arithmetic functions [PDF]
INTEGERS, Volume 23, A65, (2023), 2021 In this note, we take another look at some arithmetic identities of N.J. Fine associated with divisor functions. We connect these functions with indefinite quadratic forms using a result due to Andrews. As a consequence, arithmetic theorems are extracted.
arxiv +4 more sources
Frontal Midline Theta Oscillations during Mental Arithmetic: Effects of Stress
Frontiers in Behavioral Neuroscience, 2015 Complex cognitive tasks such as mental arithmetic heavily rely on intact, well-coordinated prefrontal cortex (PFC) function. Converging evidence suggests that frontal midline theta (FMT) oscillations play an important role during the execution of such ...
Matti eGärtner +5 more
doaj +2 more sources
Differentiability of the arithmetic volume function [PDF]
Journal of the London Mathematical Society, 2011 We introduce the positive intersection product in Arakelov geometry and prove that the arithmetic volume function is continuously differentiable. As applications, we compute the distribution function of the asymptotic measure of a Hermitian line bundle and several other arithmetic invariants.
Huayi Chen
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Arithmetic of quantum entropy function [PDF]
Journal of High Energy Physics, 2009 LaTeX file, 27 pages; v2: minor ...
A. Sen
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