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Tokyo Journal of Mathematics最新文献

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Locally Rigid Right-angled Coxeter Groups with Fuchsian Ends in Dimension 5 维数5中具有Fuchsian端的局部刚性直角Coxeter群
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-31 DOI: 10.3836/tjm/1502179360
Tomoshige Yukita
{"title":"Locally Rigid Right-angled Coxeter Groups with Fuchsian Ends in Dimension 5","authors":"Tomoshige Yukita","doi":"10.3836/tjm/1502179360","DOIUrl":"https://doi.org/10.3836/tjm/1502179360","url":null,"abstract":"In this paper, we construct a right-angled 5-polytope P of finite volume such that all the right-angled Coxeter groups with Fuchsian ends obtained from P are locally rigid.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45929492","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
Irregular Sets for Piecewise Monotonic Maps 分段单调映射的不规则集
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-27 DOI: 10.3836/tjm/1502179349
Yushi Nakano, Kenichiro Yamamoto
{"title":"Irregular Sets for Piecewise Monotonic Maps","authors":"Yushi Nakano, Kenichiro Yamamoto","doi":"10.3836/tjm/1502179349","DOIUrl":"https://doi.org/10.3836/tjm/1502179349","url":null,"abstract":"For any transitive piecewise monotonic map for which the set of periodic measures is dense in the set of ergodic invariant measures (such as linear mod $1$ transformations and generalized $beta$-transformations), we show that the set of points for which the Birkhoff average of a continuous function does not exist (called the irregular set) is either empty or has full topological entropy. This generalizes Thompson's theorem for irregular sets of $beta$-transformations, and reduces a complete description of irregular sets of transitive piecewise monotonic maps to Hofbauer-Raith problem on the density of periodic measures.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41347528","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: 4
Quiver Representations, Group Characters, and Prime Graphs of Finite Groups 有限群的颤振表示、群特征和素图
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179297
N. Iiyori, M. Sawabe
{"title":"Quiver Representations, Group Characters, and Prime Graphs of Finite Groups","authors":"N. Iiyori, M. Sawabe","doi":"10.3836/TJM/1502179297","DOIUrl":"https://doi.org/10.3836/TJM/1502179297","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"497-523"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41681375","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
Several Properties of Multiple Hypergeometric Euler Numbers 多个超几何欧拉数的几个性质
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179290
T. Komatsu, Wenpeng Zhang
{"title":"Several Properties of Multiple Hypergeometric Euler Numbers","authors":"T. Komatsu, Wenpeng Zhang","doi":"10.3836/TJM/1502179290","DOIUrl":"https://doi.org/10.3836/TJM/1502179290","url":null,"abstract":"In this paper, we introduce the higher order hypergeometric Euler numbers and show several interesting expressions. In 1875, Glaisher gave several interesting determinant expressions of numbers, including Bernoulli, Cauchy and Euler numbers. One advantage of hypergeometric numbers, including Bernoulli, Cauchy and Euler hypergeometric numbers, is the natural extension of determinant expressions of the numbers. As applications, we can get the inversion relations such that Euler numbers are elements in the determinant.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42382968","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: 3
On Congruence Relations and Equations of Shimura Curves 关于Shimura曲线的同余关系和方程
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/tjm/1502179308
A. Kurihara
{"title":"On Congruence Relations and Equations of Shimura Curves","authors":"A. Kurihara","doi":"10.3836/tjm/1502179308","DOIUrl":"https://doi.org/10.3836/tjm/1502179308","url":null,"abstract":"On a Shimura curve, the reduction modulo a prime $p$ of the Hecke correspondence $T(p)$ yields the congruence relation $PicupPi'$ with $Pi$ being the graph of the Frobenius mapping from the Shimura curve modulo $p$ to itself, and $Pi'$ its transpose. Starting with a curve $C$ of genus $g geq 2$ over $mathbb{F}_p$ together with a subset $mathfrak{S}subset C(mathbb{F}_{p^2})$, Ihara studied the liftability to characteristic $0$ of $PicupPi'$ so that $Pi$ and $Pi'$ are separated outside $mathfrak{S}$ in the lifting. In some case, Ihara obtained the uniqueness of the liftability to characteristic $0$ and gave some necessary and sufficient condition, described by some differential form on $C$, for $(C,mathfrak{S})$ to be liftable to modulo $p^2$. In this paper, in case when $C$ is defined over $mathbb{F}_{p^2}$, we compute complete tables of such $(C,{mathfrak S})$ liftable to modulo $p^2$ for $g=2$ and $3leq p leq 13$ using computer, and as an application of this uniqueness, we identify some particular Shimura curve by its equation.","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"525-550"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46138579","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
Principal Curvatures of Homogeneous Hypersurfaces in a Grassmann Manifold $widetilde{text{Gr}}_{ 3}(text{Im}mathbb{O})$ by the $G_2$-action 利用$G_2$-作用$widetilde{text{Gr}}_{3}(text{Im}mathbb{O})$的齐次超曲面的主曲率
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179291
Kanako Enoyoshi
{"title":"Principal Curvatures of Homogeneous Hypersurfaces in a Grassmann Manifold $widetilde{text{Gr}}_{ 3}(text{Im}mathbb{O})$ by the $G_2$-action","authors":"Kanako Enoyoshi","doi":"10.3836/TJM/1502179291","DOIUrl":"https://doi.org/10.3836/TJM/1502179291","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"571-584"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44867906","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
Compact Commutators of Calderón-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces 广义Morrey空间上广义Campanato空间中Calderón-Zygmund的紧交换子和广义分式积分算子
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179285
Ryutaro Arai, E. Nakai
{"title":"Compact Commutators of Calderón-Zygmund and Generalized Fractional Integral Operators with a Function in Generalized Campanato Spaces on Generalized Morrey Spaces","authors":"Ryutaro Arai, E. Nakai","doi":"10.3836/TJM/1502179285","DOIUrl":"https://doi.org/10.3836/TJM/1502179285","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"471-496"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48179777","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: 12
Hopf-homoclinic Bifurcations and Heterodimensional Cycles hopf -同斜分岔和异维循环
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179284
Shuntaro Tomizawa
{"title":"Hopf-homoclinic Bifurcations and Heterodimensional Cycles","authors":"Shuntaro Tomizawa","doi":"10.3836/TJM/1502179284","DOIUrl":"https://doi.org/10.3836/TJM/1502179284","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"449-469"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47036580","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
Coincidence Between Two Binary Recurrent Sequences of Polynomials Arising from Diophantine Triples 丢番图三元组产生的两个二元递归多项式序列的重合
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179292
T. Miyazaki
{"title":"Coincidence Between Two Binary Recurrent Sequences of Polynomials Arising from Diophantine Triples","authors":"T. Miyazaki","doi":"10.3836/TJM/1502179292","DOIUrl":"https://doi.org/10.3836/TJM/1502179292","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"611-619"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48649820","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 Generating Function to Generalize the Sum Formula for Quadruple Zeta Values 推广四重Zeta值和公式的生成函数
IF 0.6 4区 数学
Tokyo Journal of Mathematics Pub Date : 2019-12-01 DOI: 10.3836/TJM/1502179282
T. Machide
{"title":"A Generating Function to Generalize the Sum Formula for Quadruple Zeta Values","authors":"T. Machide","doi":"10.3836/TJM/1502179282","DOIUrl":"https://doi.org/10.3836/TJM/1502179282","url":null,"abstract":"","PeriodicalId":48976,"journal":{"name":"Tokyo Journal of Mathematics","volume":"42 1","pages":"329-355"},"PeriodicalIF":0.6,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45926119","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: 3
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