Hiroshima Mathematical Journal最新文献

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On generation and enumeration of orthogonal Chebyshev-Frolov lattices 正交Chebyshev-Frolov格的生成与枚举
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-07-01 DOI: 10.32917/h2021046
Moulay Abdellah Chkifa
{"title":"On generation and enumeration of orthogonal Chebyshev-Frolov lattices","authors":"Moulay Abdellah Chkifa","doi":"10.32917/h2021046","DOIUrl":"https://doi.org/10.32917/h2021046","url":null,"abstract":"Summary: We discuss orthogonal Chebyshev-Frolov lattices, their generating matrices and their use in Frolov cubature formula. We give a detailed account on coordinate-permuted systems that lead to fast computation and enumeration of such lattices. In particular, we explain the recurrences identified in (K. Suzuki and T. Yoshiki, Hiroshima Math. J., 49(1):139-159, 2019) via a plain constructive approach exhibiting a new hierarchical basis of polynomials. Dual Chebyshev-Frolov lattices and their generating matrices are also studied. Lattices enumeration in axis-parallel boxes is discussed.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43067029","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Test for equality of standardized generalized variance with different dimensions under high-dimensional settings 高维环境下不同维度标准化广义方差的相等性检验
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-07-01 DOI: 10.32917/h2021025
Hiroki Watanabe, Masashi Hyodo, Takatoshi Sugiyama, T. Seo
{"title":"Test for equality of standardized generalized variance with different dimensions under high-dimensional settings","authors":"Hiroki Watanabe, Masashi Hyodo, Takatoshi Sugiyama, T. Seo","doi":"10.32917/h2021025","DOIUrl":"https://doi.org/10.32917/h2021025","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49565432","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
N-body long-range scattering matrix n体远程散射矩阵
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-07-01 DOI: 10.32917/h2020099
Sohei Ashida
{"title":"N-body long-range scattering matrix","authors":"Sohei Ashida","doi":"10.32917/h2020099","DOIUrl":"https://doi.org/10.32917/h2020099","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44522753","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Lyubeznik numbers of almost complete intersection and linked ideals 几乎完全交和连接理想的吕别兹尼克数
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021027
Parvaneh Nadi, F. Rahmati
{"title":"Lyubeznik numbers of almost complete intersection and linked ideals","authors":"Parvaneh Nadi, F. Rahmati","doi":"10.32917/h2021027","DOIUrl":"https://doi.org/10.32917/h2021027","url":null,"abstract":"In this work, we examine the Lyubeznik numbers of squarefree monomial ideals that are linked. Also we study these numbers for almost complete intersection ideals.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42292549","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
On Gosper’s $Pi_q$ and Lambert series identities 关于Gosper的$Pi_q$和Lambert级数恒等式
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021044
Yathirajsharma Mudumbai Varada, Harshitha Kempaiahnahundi Nanjundegowda, Vasuki Kaliyur Ranganna
{"title":"On Gosper’s $Pi_q$ and Lambert series identities","authors":"Yathirajsharma Mudumbai Varada, Harshitha Kempaiahnahundi Nanjundegowda, Vasuki Kaliyur Ranganna","doi":"10.32917/h2021044","DOIUrl":"https://doi.org/10.32917/h2021044","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42387026","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Local theory of singularities of three functions and the product maps 三函数奇异性的局部理论与积映射
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021020
Kazuto Takao
{"title":"Local theory of singularities of three functions and the product maps","authors":"Kazuto Takao","doi":"10.32917/h2021020","DOIUrl":"https://doi.org/10.32917/h2021020","url":null,"abstract":"A bstract . Suppose that a smooth map ð f ; g ; h Þ : R n ! R 3 , where n b 3, has a stable singularity at the origin. We characterize the stability of the function f : R n ! R and the map ð f ; g Þ : R n ! R 2 at the origin in terms of the discriminant set of ð f ; g ; h Þ .","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43976942","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
${mathbf G}_a$-actions on the affine line over a non-reduced ring ${mathbf G}_a$-在非约简环上的仿射线上的动作
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-03-01 DOI: 10.32917/h2021011
Motoki Kuroda, S. Kuroda
{"title":"${mathbf G}_a$-actions on the affine line over a non-reduced ring","authors":"Motoki Kuroda, S. Kuroda","doi":"10.32917/h2021011","DOIUrl":"https://doi.org/10.32917/h2021011","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46630844","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Unperturbed weakly reducible non-minimal bridge positions 无扰动弱可约非极小桥位置
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2022-01-25 DOI: 10.32917/h2022006
Jung Hoon Lee
{"title":"Unperturbed weakly reducible non-minimal bridge positions","authors":"Jung Hoon Lee","doi":"10.32917/h2022006","DOIUrl":"https://doi.org/10.32917/h2022006","url":null,"abstract":"A bridge position of a knot is said to be perturbed if there exists a cancelling pair of bridge disks. Motivated by the examples of knots admitting unperturbed strongly irreducible non-minimal bridge positions due to Jang-Kobayashi-Ozawa-Takao, we derive examples of unperturbed weakly reducible non-minimal bridge positions. Also, a bridge version of Gordon's Conjecture is proposed: the connected sum of unperturbed bridge positions is unperturbed.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2022-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43079401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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 classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups* 幂零李群*上左不变伪黎曼度量的分类
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-12-17 DOI: 10.32917/h2021054
Yuji Kondo
{"title":"A classification of left-invariant pseudo-Riemannian metrics on some nilpotent Lie groups*","authors":"Yuji Kondo","doi":"10.32917/h2021054","DOIUrl":"https://doi.org/10.32917/h2021054","url":null,"abstract":"It is known that a connected and simply-connected Lie group admits only one left-invariant Riemannian metric up to scaling and isometry if and only if it is isomorphic to the Euclidean space, the Lie group of the real hyperbolic space, or the direct product of the three dimensional Heisenberg group and the Euclidean space of dimension n − 3. In this paper, we give a classification of left-invariant pseudo-Riemannian metrics of an arbitrary signature for the third Lie groups with n ≥ 4 up to scaling and automorphisms. This completes the classifications of left-invariant pseudo-Riemannian metrics for the above three Lie groups up to scaling and automorphisms.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44385849","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Function spaces induced by two parabolic Bloch spaces 两个抛物型Bloch空间诱导的函数空间
IF 0.2 4区 数学
Hiroshima Mathematical Journal Pub Date : 2021-11-01 DOI: 10.32917/h2020031
Y. Hishikawa, Masaharu Nishio, Katsunori Shimomura, M. Yamada
{"title":"Function spaces induced by two parabolic Bloch spaces","authors":"Y. Hishikawa, Masaharu Nishio, Katsunori Shimomura, M. Yamada","doi":"10.32917/h2020031","DOIUrl":"https://doi.org/10.32917/h2020031","url":null,"abstract":"We consider function spaces which consist of two parabolic Bloch spaces, and present reproducing formulas. As an application, we introduce Bloch type spaces which consist of solutions of a partial di¤erential equation ðLðaÞÞu 1⁄4 0, and investigate several properties.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.2,"publicationDate":"2021-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43375515","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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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