Results 251 to 260 of about 133,391 (266)

A hybrid mean value involving Cochrane sums and a new sum analogous to Kloosterman sums*

Lithuanian Mathematical Journal, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wenpeng Zhang
exaly   +2 more sources

A mean value of Cochrane sum

Acta Mathematica Sinica, English Series, 2009
Let \(q\) be a positive integer. For an integer \(a\) relatively prime to \(q\), let \(\overline a\) denote the multiplicative inverse of \(a\) modulo \(q\). Then one can define the so-called Cochrane sum \(C(h,q)\) by \[ C(h,q)=\sum_{{a=1}\atop{(a,q)=1}}^q\left(\left(\frac aq\right)\right)\left(\left(\frac{\overline{ a}h}q\right)\right) \] for ...
exaly   +3 more sources

On a Generalized Cochrane Sum and Its Hybrid Mean Value Formula

Ramanujan Journal, 2005
The main purpose of this paper is to use a mean value theorem of Dirichlet L-functions to study the asymptotic property of a hybrid mean value of a generalized Cochrane sum, and give an interesting mean value formula.
Zhang Wenpeng
exaly   +2 more sources

A hybrid mean value involving hyper-Kloosterman sums and mth Cochrane sum

Lithuanian Mathematical Journal
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Zhefeng Xu
exaly   +3 more sources

Power and sample size evaluation for the Cochran–Mantel–Haenszel mean score (Wilcoxon rank sum) test and the Cochran–Armitage test for trend

Statistics in Medicine, 2011
The power of a chi‐square test, and thus the required sample size, are a function of the noncentrality parameter that can be obtained as the limiting expectation of the test statistic under an alternative hypothesis specification. Herein, we apply this principle to derive simple expressions for two tests that are commonly applied to discrete ordinal ...
openaire   +2 more sources

Some Applications of L-Functions to the Mean Value of the Dedekind Sums and Cochrane Sums

2006
In this paper, the applications of L- functions to the mean value of Dedekind sums and Cochrane sums are described, and a few asymptotic formulae are presented.
openaire   +1 more source

Generalized Knopp identities for homogeneous Hardy sums and Cochrane-Hardy sums

Czechoslovak Mathematical Journal, 2013
Huaning Liu, Jing Gao
exaly  

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