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Pacific Journal of Mathematics最新文献

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Some effectivity results for primitive divisors of elliptic divisibility sequences 椭圆可整除序列的原始除数的一些有效性结果
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-11-03 DOI: 10.2140/pjm.2023.325.331
Matteo Verzobio
{"title":"Some effectivity results for primitive divisors of elliptic divisibility sequences","authors":"Matteo Verzobio","doi":"10.2140/pjm.2023.325.331","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.331","url":null,"abstract":"Let $P$ be a non-torsion point on an elliptic curve defined over a number field $K$ and consider the sequence ${B_n}_{nin mathbb{N}}$ of the denominators of $x(nP)$. We prove that every term of the sequence of the $B_n$ has a primitive divisor for $n$ greater than an effectively computable constant that we will explicitly compute. This constant will depend only on the model defining the curve.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135820225","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: 1
Infinite homotopy stable class for 4-manifolds with boundary 具有边界的4-流形的无限同伦稳定类
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-11-03 DOI: 10.2140/pjm.2023.325.209
Anthony Conway, Diarmuid Crowley, Mark Powell
{"title":"Infinite homotopy stable class for 4-manifolds with boundary","authors":"Anthony Conway, Diarmuid Crowley, Mark Powell","doi":"10.2140/pjm.2023.325.209","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.209","url":null,"abstract":"We show that for every odd prime $q$, there exists an infinite family ${M_i}_{i=1}^{infty}$ of topological 4-manifolds that are all stably homeomorphic to one another, all the manifolds $M_i$ have isometric rank one equivariant intersection pairings and boundary $L(2q, 1) # (S^1 times S^2)$, but they are pairwise not homotopy equivalent via any homotopy equivalence that restricts to a homotopy equivalence of the boundary.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135820395","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
Estimate for the first fourth Steklov eigenvalue of a minimal hypersurface with free boundary 具有自由边界的极小超曲面的第一个四阶Steklov特征值的估计
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-09-03 DOI: 10.2140/pjm.2023.325.1
Rondinelle Batista, Barnab'e Lima, Paulo Sousa, Bruno Vieira
{"title":"Estimate for the first fourth Steklov eigenvalue of a minimal hypersurface with free boundary","authors":"Rondinelle Batista, Barnab'e Lima, Paulo Sousa, Bruno Vieira","doi":"10.2140/pjm.2023.325.1","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.1","url":null,"abstract":". We explore the fourth-order Steklov problem of a compact embedded hyper-surface (cid:54) n with free boundary in a ( n + 1 ) -dimensional compact manifold M n + 1 which has nonnegative Ricci curvature and strictly convex boundary. If (cid:54) is minimal we establish a lower bound for the first eigenvalue of this problem. When M = B n + 1 is the unit ball in (cid:82) n + 1 , if (cid:54) has constant mean curvature H (cid:54) we prove that the first eigenvalue satisfies σ 1 ≤ n + | H (cid:54) | . In the minimal case ( H (cid:54) = 0), we prove that σ 1 = n .","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45478580","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
Stable systoles of higher rank in Riemannian manifolds 黎曼流形中高阶稳定系统
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-09-03 DOI: 10.2140/pjm.2023.325.105
J. Hebda
{"title":"Stable systoles of higher rank in Riemannian manifolds","authors":"J. Hebda","doi":"10.2140/pjm.2023.325.105","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.105","url":null,"abstract":"This paper introduces the stable systoles of higher rank of a Riemannian manifold as a generalization of the usual stable systoles. Several inequalities involving these higher rank systoles are proved.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-09-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45678182","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
Limit cycles of linear vector fields on(𝕊2)m× ℝn (𝕊2)mx∈n上线性向量场的极限环
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-07-26 DOI: 10.2140/pjm.2023.324.249
Clara Cufí-Cabré, J. Llibre
{"title":"Limit cycles of linear vector fields on\u0000(𝕊2)m× ℝn","authors":"Clara Cufí-Cabré, J. Llibre","doi":"10.2140/pjm.2023.324.249","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.249","url":null,"abstract":"It is well known that linear vector fields defined in (cid:82) n cannot have limit cycles, but this is not the case for linear vector fields defined in other manifolds. We study the existence of limit cycles bifurcating from a continuum of periodic orbits of linear vector fields on manifolds of the form ( (cid:83) 2 ) m × (cid:82) n when such vector fields are perturbed inside the class of all linear vector fields. The study is done using averaging theory. We also present an open problem about the maximum number of limit cycles of linear vector fields on ( (cid:83) 2 ) m × (cid:82) n .","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68570905","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
Spike solutions for a fractional elliptic equation in a compact Riemannian manifold 紧致黎曼流形中分数椭圆方程的Spike解
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-06-22 DOI: 10.2140/pjm.2023.324.1
Imene Bendahou, Zied Khemiri, F. Mahmoudi
{"title":"Spike solutions for a fractional elliptic equation in a compact Riemannian manifold","authors":"Imene Bendahou, Zied Khemiri, F. Mahmoudi","doi":"10.2140/pjm.2023.324.1","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.1","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42182529","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
Loewner chains applied to g-starlike mappingsof complex order of complex Banach spaces Loewer链在复Banach空间复阶g-星形映射中的应用
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2023-06-02 DOI: 10.2140/pjm.2023.323.401
Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang
{"title":"Loewner chains applied to g-starlike mappings\u0000of complex order of complex Banach spaces","authors":"Xiaofei Zhang, Shuxia Feng, Tai-Shun Liu, Jianfei Wang","doi":"10.2140/pjm.2023.323.401","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.401","url":null,"abstract":"This paper is devoted to studying geometric and analytic properties of g - starlike mappings of complex order λ . By using Loewner chains, we obtain the growth theorems for g -starlike mappings of complex order λ on the unit ball in reflexive complex Banach spaces, which generalize some results of Graham, Hamada and Kohr. As applications, several different kinds of distortion theorems for g -starlike mappings of complex order λ are obtained. Finally, we prove that the Roper–Suffridge extension operators preserve the property of g -starlike mappings of complex order λ in complex Banach spaces, which generalizes many classical results.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46452487","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
Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities 与孤立奇点相关的局部k- Hessian代数的负权导数的不存在性
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.129
Guorui Ma, Stephen S.-T. Yau, Huaiqing Zuo
{"title":"Nonexistence of negative weight derivations of the local k-th Hessian algebras associated to isolated singularities","authors":"Guorui Ma, Stephen S.-T. Yau, Huaiqing Zuo","doi":"10.2140/pjm.2023.323.129","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.129","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135791799","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
Rigidity of 3D spherical caps via μ-bubbles μ气泡三维球帽的刚度
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.89
Yuhao Hu, Peng Liu, Yuguang Shi
{"title":"Rigidity of 3D spherical caps via μ-bubbles","authors":"Yuhao Hu, Peng Liu, Yuguang Shi","doi":"10.2140/pjm.2023.323.89","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.89","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135792319","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 structure of the unramified abelian Iwasawa module of some number fields 若干数域的非分枝阿贝尔Iwasawa模的结构
3区 数学
Pacific Journal of Mathematics Pub Date : 2023-05-29 DOI: 10.2140/pjm.2023.323.173
Ali Mouhib
{"title":"The structure of the unramified abelian Iwasawa module of some number fields","authors":"Ali Mouhib","doi":"10.2140/pjm.2023.323.173","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.173","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135793065","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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