ACTA MATHEMATICA HUNGARICA 致力于在纯数学和应用数学以及理论计算机科学的所有领域发表高质量的研究文章。该杂志每年出版三卷（每卷两期，共 6 期），有印刷版和电子版两种。匈牙利数学学报（原匈牙利数学学报）由匈牙利科学院于 1950 年创立。

Acta Mathematica Hungarica is dedicated to publishing high-quality research articles in all areas of pure mathematics, applied mathematics, and theoretical computer science. The journal publishes three volumes each year (with two issues per volume, totaling six issues), available in both print and electronic formats. The journal was established by the Hungarian Academy of Sciences in 1950.

《Acta Mathematica Hungarica》致力于发表纯数学、应用数学以及理论计算机科学领域的高质量研究文章。该期刊每年出版三卷（每卷两期，共六期），同时提供印刷版和电子版。匈牙利数学学报（原匈牙利数学学报）由匈牙利科学院于1950年创立。

Acta Mathematica Hungarica

J. Lita Da Silva

Acta Mathematica Academiae Scientiarum Hungaricae

Limiting behavior for arrays of row-wise upper extended negatively dependent random variables

行向量上扩展负相关随机变量阵列的极限行为

Abstract Geodesic loops on tetrahedra were studied only for the Euclidean space and it was known that there are no simple geodesic loops on regular tetrahedra. Here we prove that: 1) In the spherical space, there are no simple geodesic loops on tetrahedra with internal angles $$\pi/3 &lt; a_i&lt;\pi/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>3</mml:mn> <mml:mo>&lt;</mml:mo> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>&lt;</mml:mo> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> or regular tetrahedra with $$a_i=\pi/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>=</mml:mo> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> , and there are three simple geodesic loops for each vertex of a tetrahedra with $$a_i &gt; \pi/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>&gt;</mml:mo> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> and the lengths of the edges $$a_i&gt;\pi/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>&gt;</mml:mo> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> . 2) We obtain also a new theorem on simple closed geodesics: If the angles $$a_i$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> </mml:math> of the faces of a tetraedron satisfy $$\pi/3 &lt; a_i&lt;\pi/2$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>3</mml:mn> <mml:mo>&lt;</mml:mo> <mml:msub> <mml:mi>a</mml:mi> <mml:mi>i</mml:mi> </mml:msub> <mml:mo>&lt;</mml:mo> <mml:mi>π</mml:mi> <mml:mo>/</mml:mo> <mml:mn>2</mml:mn> </mml:mrow> </mml:math> and all faces of the tetrahedron are congruent, then there exist at least $$3$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mn>3</mml:mn> </mml:mrow> </mml:math> simple closed geodesics. 3) In the hyperbolic space, for every regular tetrahedron $$T$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> </mml:math> and every pair of coprime numbers $$(p,q)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> , there is one simple geodesic loop of type $$(p,q)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>p</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:math> through every vertex of $$T$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mi>T</mml:mi> </mml:math> . The geodesic loops that we have found on the tetrahedra in the hyperbolic space are also quasi-geodesics.

A. Borisenko

V. Miquel

Geodesic loops on tetrahedra in spaces of constant sectional curvature

常曲率空间中四面体上的测地线环

V. V. Tkachuk

Discrete reflexivity in topological groups and function spaces

拓扑群与函数空间中的离散自反性

B. Kirik Rácz

B. Cindik

Some special Z-symmetric manifolds with applications to space-times and Ricci solitons

一些特殊的Z对称流形及其在时空和Ricci孤子中的应用

X. Li

Q. Y. Yin

On the existence of zero-sum subsequences of distinct lengths over certain groups of rank three

关于秩三的某些群中存在不同长度的零和子序列的问题

Abstract We consider the ideal of nowhere dense sets in the common division topology (Szyszkowska’s ideal), and examine some of its basic properties. We also explore the possible inclusions between the studied ideal and Furstenberg’s and Rizza’s ideals, thus answering open questions posed in a recent article by A. Nowik and P. Szyszkowska [17]. Moreover, we discuss the relationships of the Szyszkowska’s ideal with selected well-known ideals playing an important role in number theory and combinatorics.

M. Kwela

Some properties of the ideal of nowhere dense sets in the common division topology

短名	Acta Math Hung
Journal Impact	0.62
国际分区	MATHEMATICS(Q3)
期刊索引	SCI Q2中科院 3 区

ISSN	0001-5954, 0236-5294, 1588-2632
h-index	45
国内分区	数学(3区)数学数学(3区)

出版信息	出版商: Springer Netherlands，出版周期: ，期刊类型: journal，开源期刊: 否
基本数据	创刊年份: 1983，原创研究文献占比: ，自引率:， Gold OA占比:

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Limiting behavior for arrays of row-wise upper extended negatively dependent random variables

Geodesic loops on tetrahedra in spaces of constant sectional curvature

Discrete reflexivity in topological groups and function spaces

Some special Z-symmetric manifolds with applications to space-times and Ricci solitons

On the existence of zero-sum subsequences of distinct lengths over certain groups of rank three

Geodesic loops on tetrahedra in spaces of constant sectional curvature

Some properties of the ideal of nowhere dense sets in the common division topology

Concurrent normals problem for convex polytopes and Euclidean distance degree

Discrete reflexivity in topological groups and function spaces

Some special Z-symmetric manifolds with applications to space-times and Ricci solitons