Results 11 to 20 of about 21,735,665 (352)

On the minimal distance of a polynomial code [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2011
special issue in honor of Laci Babai's 60th birthday: Combinatorics, Groups, Algorithms, and ...
Peter Pal Pach, Csaba Szabo
doaj   +1 more source

On certain sums of number theory [PDF]

open access: yesInternational Journal of Number Theory, 2020
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
semanticscholar   +1 more source

Descents after maxima in compositions [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2014
Combinatorics
Aubrey Blecher   +2 more
doaj   +1 more source

On the generalized Cochrane sum with Dirichlet characters

open access: yesAIMS Mathematics, 2023
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
doaj   +1 more source

One Kind New Hybrid Power Mean and Its Computational Formulae

open access: yesJournal of Mathematics, 2022
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
doaj   +1 more source

Transcendental Number Theory

open access: yes, 2022
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
semanticscholar   +1 more source

On the Fourth Hybrid Power Mean Involving the Generalized Gauss Sums

open access: yesJournal of Mathematics, 2023
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
doaj   +1 more source

Generalization of the Lehmer problem over incomplete intervals

open access: yesJournal of Inequalities and Applications, 2023
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
doaj   +1 more source

The distribution of ascents of size $d$ or more in samples of geometric random variables [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2005
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
doaj   +1 more source

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