Results 31 to 40 of about 16,092,020 (251)
An asymptotic formula for the gcd-sum function of Jordan's totient function
四川大学学报. 自然科学版, 2021 Let $\gcd(k, j)$ denote the greatest common divisor of the positive integers $k$ and $j$, $r$ be any fixed positive integer. In this paper, by using the identity of Kiuchi on $M_r(x; f)$ together with analytic method, we present asymptotic formulas of ...
LI Lin-Feng, TAN Qian-Rong, CHEN Long
doaj
ON THE MEAN VALUE OF THE SMARANDACHE DOUBLE FACTORIAL FUNCTION [PDF]
, 2001 For any positive integer n, the Smarandache double factorial function Sdf(n) is defined as the least positive integer m such that m!! is divisible by n.
Zhu, Minhui
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Mean Values of Products of L-Functions and Bernoulli Polynomials
Mathematics, 2018 Let m 1 , ⋯ , m r be nonnegative integers, and set: M r = m 1 + ⋯ + m r . In this paper, first we establish an explicit linear decomposition of: ∏ i = 1 r B m i ( x ) m i !
Abdelmejid Bayad, Daeyeoul Kim
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Vinogradov's mean value theorem via efficient congruencing [PDF]
, 2012 We obtain estimates for Vinogradov's integral that for the first time approach those conjectured to be the best possible. Several applications of these new bounds are provided.
Wooley, Trevor D., Trevor D. Wooley
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An identity involving the function ep(n) [PDF]
, 2007 The main purpose of this paper is to study the relationship between the Riemann zeta-function and an infinite series involving the Smarandache function ep(n) by using the elementary method, and give an interesting ...
Xiaowei, Pan, Zhang, Pei
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Adolescents with high‐risk cancer face complex developmental, psychosocial, and ethical challenges that extend beyond disease‐directed treatment. Although international recommendations exist for communication, psychosocial care, pediatric palliative care, survivorship, and shared decision‐making, these have largely evolved within ...
Johanna M. C. Blom +15 more
wiley +1 more source
The mean value of a new arithmetical function [PDF]
, 2008 The main purpose of this paper is using the elementary and the analytic methods to study the mean value properties of a Smarandache multiplicative function, and give two sharper asymptotic formulae for ...
Pei, Zhang, Jin, Zhangyz and Pei Zhang
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Loneliness is associated with adverse physical and mental health outcomes and remains understudied in children and adolescents undergoing cancer therapy. Pediatric oncology patients may be at increased risk due to medical isolation and disruption of social networks.
Charlotte N. Stahlfeld +5 more
wiley +1 more source
On a mean value theorem connected with Hermite-Hadamard's inequality
Journal of Numerical Analysis and Approximation Theory, 2004 In this paper we prove a mean-value theorem for integral calculus, then we demonstrate properties of the mean point. In the end we give an extension of Hermite-Hadamard's inequality.
Ovidiu T. Pop
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Mean-value theorem for vector-valued functions [PDF]
, 2012 summary:For a differentiable function ${\bf f}\colon I\rightarrow \mathbb {R}^{k},$ where $I$ is a real interval and $k\in \mathbb {N}$, a counterpart of the Lagrange mean-value theorem is presented. Necessary and sufficient conditions for the existence
Matkowski, Janusz
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