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Periodica Mathematica Hungarica最新文献

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On the Wittmann strong law for mixing sequences 关于混合序列的维特曼强定律
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-21 DOI: 10.1007/s10998-024-00588-z
Zbigniew S. Szewczak
{"title":"On the Wittmann strong law for mixing sequences","authors":"Zbigniew S. Szewczak","doi":"10.1007/s10998-024-00588-z","DOIUrl":"https://doi.org/10.1007/s10998-024-00588-z","url":null,"abstract":"<p>We prove Wittmann’s SLLN (see Wittmann in Stat Probab Lett 3:131–133, 1985) for <span>(psi )</span>-mixing sequences without the rate assumption.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503332","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Lattice cohomology and subspace arrangements: the topological and analytic cases 晶格同调与子空间排列：拓扑与解析案例
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-19 DOI: 10.1007/s10998-024-00590-5
Tamás Ágoston
{"title":"Lattice cohomology and subspace arrangements: the topological and analytic cases","authors":"Tamás Ágoston","doi":"10.1007/s10998-024-00590-5","DOIUrl":"https://doi.org/10.1007/s10998-024-00590-5","url":null,"abstract":"<p>In this paper we consider the (topological) lattice cohomology <span>(mathbb {H}^*)</span> of a surface singularity with rational homology sphere link. In particular, we will be studying two sets of (topological) invariants related to it: the weight function <span>(upchi )</span> that induces the cohomology and the topological subspace arrangement <span>(T(ell ,I))</span> at each lattice point <span>(ell )</span> — the latter of which is the weaker of the two. We shall prove that the two are in fact equivalent by establishing an algorithm to compute <span>(upchi )</span> from the subspace arrangement. Replacing the topological arrangements with the analytic, we get another formula — one that connects them with the analytic lattice cohomology introduced and studied in our earlier papers. In fact, this connection served as the original motivation for the definition of the latter. Aside from the historical interest, this parallel also provides us with tools to study more easily the connection between the two cohomologies.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503334","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
On determinants of matrices related to Pascal’s triangle 论与帕斯卡三角形有关的矩阵行列式
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-18 DOI: 10.1007/s10998-024-00581-6
Martín Mereb
{"title":"On determinants of matrices related to Pascal’s triangle","authors":"Martín Mereb","doi":"10.1007/s10998-024-00581-6","DOIUrl":"https://doi.org/10.1007/s10998-024-00581-6","url":null,"abstract":"<p>We prove that the symmetric Pascal triangle matrix modulo 2 has the property that each of the square sub-matrices positioned at the upper border or on the left border has determinant, computed in <span>({mathbb {Z}})</span>, equal to 1 or <span>(-1)</span>. Furthermore, we give the exact number of Pascal-like <span>(n times m)</span> matrices over a commutative ring with finite group of units.\u0000</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503333","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An additive problem over intersection of two Piatetski–Shapiro prime sets and almost-primes 两个 Piatetski-Shapiro 素集和几乎素集交点的加法问题
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-16 DOI: 10.1007/s10998-024-00587-0
Xiaotian Li, Wenguang Zhai
{"title":"An additive problem over intersection of two Piatetski–Shapiro prime sets and almost-primes","authors":"Xiaotian Li, Wenguang Zhai","doi":"10.1007/s10998-024-00587-0","DOIUrl":"https://doi.org/10.1007/s10998-024-00587-0","url":null,"abstract":"","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141335932","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
High order congruences for M-ary partitions Mary 分区的高阶同余式
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-14 DOI: 10.1007/s10998-024-00579-0
Błażej Żmija
{"title":"High order congruences for M-ary partitions","authors":"Błażej Żmija","doi":"10.1007/s10998-024-00579-0","DOIUrl":"https://doi.org/10.1007/s10998-024-00579-0","url":null,"abstract":"<p>For a sequence <span>(M=(m_{i})_{i=0}^{infty })</span> of integers such that <span>(m_{0}=1)</span>, <span>(m_{i}ge 2)</span> for <span>(ige 1)</span>, let <span>(p_{M}(n))</span> denote the number of partitions of <i>n</i> into parts of the form <span>(m_{0}m_{1}cdots m_{r})</span>. In this paper we show that for every positive integer <i>n</i> the following congruence is true: </p><span>$$begin{aligned} p_{M}(m_{1}m_{2}cdots m_{r}n-1)equiv 0 left( textrm{mod} prod _{t=2}^{r}mathcal {M}(m_{t},t-1)right) , end{aligned}$$</span><p>where <span>(mathcal {M}(m,r):=frac{m}{textrm{gcd}big (m,textrm{lcm}(1,ldots ,r)big )})</span>. Our result answers a conjecture posed by Folsom, Homma, Ryu and Tong, and is a generalisation of the congruence relations for <i>m</i>-ary partitions found by Andrews, Gupta, and Rødseth and Sellers.\u0000</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141503335","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some results on Arakawa–Kaneko, Kaneko–Tsumura functions and related functions 关于荒川-金子、金子-津村函数和相关函数的一些结果
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-13 DOI: 10.1007/s10998-024-00585-2
Maneka Pallewatta, Ce Xu
{"title":"Some results on Arakawa–Kaneko, Kaneko–Tsumura functions and related functions","authors":"Maneka Pallewatta, Ce Xu","doi":"10.1007/s10998-024-00585-2","DOIUrl":"https://doi.org/10.1007/s10998-024-00585-2","url":null,"abstract":"<p>Recently, the level two analogue of the multiple polylogarithm function <span>(textrm{A}(k_1,ldots ,k_r;z))</span> and the Arakawa–Kaneko zeta function <span>(psi (k_1,ldots ,k_r;s))</span> have been introduced by M. Kaneko and H. Tsumura for <span>(k_1,ldots ,k_rin mathbb {Z}_{ge 1})</span>. In this paper, we investigate some of their special relations. In particular, we prove some explicit forms of <span>(textrm{A}(k_1,ldots ,k_r;z))</span> and <span>(psi (k_1,ldots ,k_r;s))</span>. Also, we introduce a level <i>m</i> analogue of the Arakawa–Kaneko zeta functions.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519220","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Translated sums of quasi-primitive sequences 准原始序列的翻译和
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-11 DOI: 10.1007/s10998-024-00577-2
Ilias Laib, Kawter Mouli, Nadir Rezzoug
{"title":"Translated sums of quasi-primitive sequences","authors":"Ilias Laib, Kawter Mouli, Nadir Rezzoug","doi":"10.1007/s10998-024-00577-2","DOIUrl":"https://doi.org/10.1007/s10998-024-00577-2","url":null,"abstract":"","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141356000","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Padovan numbers that are concatenations of a Padovan number and a Perrin number 帕多瓦数是帕多瓦数和佩林数的并集
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-07 DOI: 10.1007/s10998-024-00578-1
Merve Güney Duman
{"title":"Padovan numbers that are concatenations of a Padovan number and a Perrin number","authors":"Merve Güney Duman","doi":"10.1007/s10998-024-00578-1","DOIUrl":"https://doi.org/10.1007/s10998-024-00578-1","url":null,"abstract":"","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141371875","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Morse–Smale complexes on convex polyhedra 凸多面体上的莫尔斯-斯马尔复合体
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-05 DOI: 10.1007/s10998-024-00583-4
Balázs Ludmány, Zsolt Lángi, Gábor Domokos
{"title":"Morse–Smale complexes on convex polyhedra","authors":"Balázs Ludmány, Zsolt Lángi, Gábor Domokos","doi":"10.1007/s10998-024-00583-4","DOIUrl":"https://doi.org/10.1007/s10998-024-00583-4","url":null,"abstract":"<p>Motivated by applications in geomorphology, the aim of this paper is to extend Morse–Smale theory from smooth functions to the radial distance function (measured from an internal point), defining a convex polyhedron in 3-dimensional Euclidean space. The resulting polyhedral Morse–Smale complex may be regarded, on one hand, as a generalization of the Morse–Smale complex of the smooth radial distance function defining a smooth, convex body, on the other hand, it could be also regarded as a generalization of the Morse–Smale complex of the piecewise linear parallel distance function (measured from a plane), defining a polyhedral surface. Beyond similarities, our paper also highlights the marked differences between these three problems and it also relates our theory to other methods. Our work includes the design, implementation and testing of an explicit algorithm computing the Morse–Smale complex on a convex polyhedron.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141519413","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields 局部域上的哈代和哈代-利特尔伍德-波利亚算子及其换元子
IF 0.8 3区 数学
Periodica Mathematica Hungarica Pub Date : 2024-06-03 DOI: 10.1007/s10998-024-00589-y
Biswaranjan Behera
{"title":"Hardy and Hardy–Littlewood–Pólya operators and their commutators on local fields","authors":"Biswaranjan Behera","doi":"10.1007/s10998-024-00589-y","DOIUrl":"https://doi.org/10.1007/s10998-024-00589-y","url":null,"abstract":"<p>We introduce the Hardy and Hardy–Littlewood–Pólya operators on local fields and show that they are bounded on weighted Lebesgue spaces with power weights. Moreover, we compute the precise norms of these operators on these spaces. Further, we prove the boundedness of the commutators generated by these operators and functions with central mean oscillation on Herz spaces, and in particular, on the weighted Lebesgue spaces.</p>","PeriodicalId":49706,"journal":{"name":"Periodica Mathematica Hungarica","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141253124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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