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Exponential Almost-Riordan Arrays 指数近似赖尔登数组
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s00025-024-02193-5
Yasemin Alp, E. Kocer
{"title":"Exponential Almost-Riordan Arrays","authors":"Yasemin Alp, E. Kocer","doi":"10.1007/s00025-024-02193-5","DOIUrl":"https://doi.org/10.1007/s00025-024-02193-5","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141104186","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
Bounds for the Relative and Absolute Spectral Variations of Matrices 矩阵相对和绝对谱变的界限
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s00025-024-02202-7
Michael Gil’
{"title":"Bounds for the Relative and Absolute Spectral Variations of Matrices","authors":"Michael Gil’","doi":"10.1007/s00025-024-02202-7","DOIUrl":"https://doi.org/10.1007/s00025-024-02202-7","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141103596","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 Character Degrees and Codegrees 关于字符度和代码度
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-23 DOI: 10.1007/s00025-024-02206-3
Yang Liu, Yong Yang
{"title":"On Character Degrees and Codegrees","authors":"Yang Liu, Yong Yang","doi":"10.1007/s00025-024-02206-3","DOIUrl":"https://doi.org/10.1007/s00025-024-02206-3","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141103037","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
Conformal Kaehler Submanifolds 共形开普勒子曼形体
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00025-024-02203-6
L. J. Alías, S. Chion, M. Dajczer
{"title":"Conformal Kaehler Submanifolds","authors":"L. J. Alías, S. Chion, M. Dajczer","doi":"10.1007/s00025-024-02203-6","DOIUrl":"https://doi.org/10.1007/s00025-024-02203-6","url":null,"abstract":"<p>This paper presents two results in the realm of conformal Kaehler submanifolds. These are conformal immersions of Kaehler manifolds into the standard flat Euclidean space. The proofs are obtained by making a rather strong use of several facts and techniques developed in Chion and Dajczer (Proc Edinb Math Soc 66:810–833, 2023) for the study of isometric immersions of Kaehler manifolds into the standard hyperbolic space.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153224","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 of Topological Genericity 拓扑通用性的若干结果
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00025-024-02200-9
Christos Pandis
{"title":"Some Results of Topological Genericity","authors":"Christos Pandis","doi":"10.1007/s00025-024-02200-9","DOIUrl":"https://doi.org/10.1007/s00025-024-02200-9","url":null,"abstract":"<p>We prove that a generic function from <span>(bigcap nolimits _{p&lt;1}H^p)</span> has unbounded Taylor coefficients, this applies also to the Taylor coefficients of its derivatives. Results of similar nature are valid when the space <span>(bigcap nolimits _{p&lt;1}H^p)</span> is replaced by <span>(H^p)</span>(<span>(0&lt;p&lt;1)</span>) and by localized versions of such spaces. Moreover, we prove that a generic function from <span>(A(mathbb {D}))</span> has Taylor coefficients outside of <span>(ell ^1)</span>, this applies also to the Taylor coefficients of its derivatives. Lastly, we prove that a generic function from <span>(bigcap nolimits _{p&lt;1}h^p)</span> has a harmonic conjugate that does not belong to any <span>(h^q(q&gt;0))</span>.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153226","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
The Simplicity Degree of Tarski’s Euclidean Geometry of Ruler and Dividers is 5 塔尔斯基的《标尺与分割器的欧几里得几何》的简单度是 5
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00025-024-02186-4
V. Pambuccian
{"title":"The Simplicity Degree of Tarski’s Euclidean Geometry of Ruler and Dividers is 5","authors":"V. Pambuccian","doi":"10.1007/s00025-024-02186-4","DOIUrl":"https://doi.org/10.1007/s00025-024-02186-4","url":null,"abstract":"","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141108375","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
Arithmetic Varieties of Numerical Semigroups 数字半群的算术变种
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00025-024-02212-5
Manuel B. Branco, Ignacio Ojeda, José Carlos Rosales
{"title":"Arithmetic Varieties of Numerical Semigroups","authors":"Manuel B. Branco, Ignacio Ojeda, José Carlos Rosales","doi":"10.1007/s00025-024-02212-5","DOIUrl":"https://doi.org/10.1007/s00025-024-02212-5","url":null,"abstract":"<p>In this paper we present the notion of arithmetic variety for numerical semigroups. We study various aspects related to these varieties such as the smallest arithmetic that contains a set of numerical semigroups and we exhibit the rooted tree associated with an arithmetic variety. This tree is not locally finite; however, if the Frobenius number is fixed, the tree has finitely many nodes and algorithms can be developed. All algorithms provided in this article include their (non-debugged) implementation in GAP.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153274","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
Realization of Permutation Modules via Alexandroff Spaces 通过亚历山德罗夫空间实现置换模块
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-22 DOI: 10.1007/s00025-024-02199-z
Cristina Costoya, Rafael Gomes, Antonio Viruel
{"title":"Realization of Permutation Modules via Alexandroff Spaces","authors":"Cristina Costoya, Rafael Gomes, Antonio Viruel","doi":"10.1007/s00025-024-02199-z","DOIUrl":"https://doi.org/10.1007/s00025-024-02199-z","url":null,"abstract":"<p>We raise the question of the realizability of permutation modules in the context of Kahn’s realizability problem for abstract groups and the <i>G</i>-Moore space problem. Specifically, given a finite group <i>G</i>, we consider a collection <span>({M_i}_{i=1}^n)</span> of finitely generated <span>(mathbb {Z}G)</span>-modules that admit a submodule decomposition on which <i>G</i> acts by permuting the summands. Then we prove the existence of connected finite spaces <i>X</i> that realize each <span>(M_i)</span> as its <i>i</i>-th homology, <i>G</i> as its group of self-homotopy equivalences <span>(mathcal {E}(X))</span>, and the action of <i>G</i> on each <span>(M_i)</span> as the action of <span>(mathcal {E}(X))</span> on <span>(H_i(X; mathbb {Z}))</span>.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153223","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
A Diagrammatic Presentation of the Category 3Cob 3Cob 类别图示
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-21 DOI: 10.1007/s00025-024-02201-8
Jovana Nikolić, Zoran Petrić, Mladen Zekić
{"title":"A Diagrammatic Presentation of the Category 3Cob","authors":"Jovana Nikolić, Zoran Petrić, Mladen Zekić","doi":"10.1007/s00025-024-02201-8","DOIUrl":"https://doi.org/10.1007/s00025-024-02201-8","url":null,"abstract":"<p>A category equivalent to the category of 3-dimensional cobordisms is defined in terms of planar diagrams. The operation of composition in this category is completely described via these diagrams.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153273","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
Harnack Inequality and the Relevant Theorems on Finsler Metric Measure Manifolds 哈纳克不等式和芬斯勒公量测度曼形上的相关定理
IF 2.2 3区 数学
Results in Mathematics Pub Date : 2024-05-21 DOI: 10.1007/s00025-024-02196-2
Xinyue Cheng, Yalu Feng
{"title":"Harnack Inequality and the Relevant Theorems on Finsler Metric Measure Manifolds","authors":"Xinyue Cheng, Yalu Feng","doi":"10.1007/s00025-024-02196-2","DOIUrl":"https://doi.org/10.1007/s00025-024-02196-2","url":null,"abstract":"<p>In this paper, we carry out in-depth research centering around the Harnack inequality for positive solutions to nonlinear heat equation on Finsler metric measure manifolds with weighted Ricci curvature <span>(textrm{Ric}_{infty })</span> bounded below. Aim on this topic, we first give a volume comparison theorem of Bishop-Gromov type. Then we prove a weighted Poincaré inequality by using Whitney-type coverings technique and give a local uniform Sobolev inequality. Further, we obtain two mean value inequalities for positive subsolutions and supersolutions of a class of parabolic differential equations. From the mean value inequality, we also derive a local gradient estimate for positive solutions to heat equation. Finally, as the application of the mean value inequalities and weighted Poincaré inequality, we get the desired Harnack inequality for positive solutions to heat equation.</p>","PeriodicalId":54490,"journal":{"name":"Results in Mathematics","volume":null,"pages":null},"PeriodicalIF":2.2,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141153182","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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