Results 11 to 20 of about 21,735,665 (352)
On the minimal distance of a polynomial code [PDF]
special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
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On certain sums of number theory [PDF]
We study sums of the shape $\sum_{n \leqslant x} f \left( \lfloor x/n \rfloor \right)$ where $f$ is either the von Mangoldt function or the Dirichlet-Piltz divisor functions.
O. Bordellès
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Descents after maxima in compositions [PDF]
Combinatorics
Aubrey Blecher+2 more
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On the generalized Cochrane sum with Dirichlet characters
In this paper, we defined a new generalized Cochrane sum with Dirichlet characters, and gave the upper bound of the generalized Cochrane sum with Dirichlet characters.
Jiankang Wang, Zhefeng Xu, Minmin Jia
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One Kind New Hybrid Power Mean and Its Computational Formulae
The main purpose of this study is to use the elementary and analytic methods and the properties of the classical Gauss sums to study the calculation problems of one kind of hybrid power mean involving the quadratic character sums and the two-term ...
Li Wang, Xuexia Wang
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First published in 1975, this classic book gives a systematic account of transcendental number theory, that is, the theory of those numbers that cannot be expressed as the roots of algebraic equations having rational coefficients.
Alan Baker, D. Masser
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On the Fourth Hybrid Power Mean Involving the Generalized Gauss Sums
In this paper, we use the elementary and analytic methods to study the fourth hybrid power mean involving the generalized Gauss sums and prove several interesting identities for them.
Xiaoge Liu, Yuanyuan Meng
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Generalization of the Lehmer problem over incomplete intervals
Let α ≥ 2 $\alpha \geq 2$ , m ≥ 2 $m\geq 2 $ be integers, p be an odd prime with p ∤ m ( m + 1 ) $p\nmid m (m+1 )$ , 0 < λ 1 $0 max { [ 1 λ 1 ] , [ 1 λ 2 ] } $q=p^{\alpha }> \max \{ [ \frac{1}{\lambda _{1}} ], [ \frac{1}{\lambda _{2}} ] \}$ .
Zhaoying Liu, Di Han
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The distribution of ascents of size $d$ or more in samples of geometric random variables [PDF]
We consider words or strings of characters $a_1a_2a_3 \ldots a_n$ of length $n$, where the letters $a_i \in \mathbb{Z}$ are independently generated with a geometric probability $\mathbb{P} \{ X=k \} = pq^{k-1}$ where $p+q=1$.
Charlotte Brennan, Arnold Knopfmacher
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