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Kyushu Journal of Mathematics最新文献

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REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION 论度量平均维数的局域性
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-03-08 DOI: 10.2206/kyushujm.76.143
M. Tsukamoto
{"title":"REMARK ON THE LOCAL NATURE OF METRIC MEAN DIMENSION","authors":"M. Tsukamoto","doi":"10.2206/kyushujm.76.143","DOIUrl":"https://doi.org/10.2206/kyushujm.76.143","url":null,"abstract":"Metric mean dimension is a metric invariant of dynamical systems. It is a dynamical analogue of Minkowski dimension of metric spaces. We explain that old ideas of Bowen (1972) can be used for clarifying the local nature of metric mean dimension. We also explain the generalization to R-actions and an illustrating example.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46868049","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: 2
EXTREMAL QUASIMODULAR FORMS OF LOWER DEPTH WITH INTEGRAL FOURIER COEFFICIENTS 具有积分傅立叶系数的下深度极值拟模形式
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-25 DOI: 10.2206/kyushujm.75.351
Tsudoi Kaminaka, Fumiharu Kato
{"title":"EXTREMAL QUASIMODULAR FORMS OF LOWER DEPTH WITH INTEGRAL FOURIER COEFFICIENTS","authors":"Tsudoi Kaminaka, Fumiharu Kato","doi":"10.2206/kyushujm.75.351","DOIUrl":"https://doi.org/10.2206/kyushujm.75.351","url":null,"abstract":"We show that, based on Grabner’s recent results on modular differential equations satisfied by quasimodular forms, there exist only finitely many normalized extremal quasimodular forms of depth r that have all Fourier coefficients integral for each of r = 1, 2, 3, 4, and partly classifies them, where the classification is complete for r = 2, 3, 4; in fact, we show that there exists no normalized extremal quasimodular forms of depth 4 with all Fourier coefficients integral. Our result disproves a conjecture by Pellarin.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47516634","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
WEIGHTED SYLVESTER SUMS ON THE FROBENIUS SET IN MORE VARIABLES 多变量FROBENIUS集上的加权SYLVESTER和
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-12 DOI: 10.2206/kyushujm.76.163
T. Komatsu, Yuan Zhang
{"title":"WEIGHTED SYLVESTER SUMS ON THE FROBENIUS SET IN MORE VARIABLES","authors":"T. Komatsu, Yuan Zhang","doi":"10.2206/kyushujm.76.163","DOIUrl":"https://doi.org/10.2206/kyushujm.76.163","url":null,"abstract":"Given positive integers a1, . . . , ak with gcd(a1, . . . , ak) = 1, it is well-known that all sufficiently large n can be represented as a nonnegative integer combination of a1, . . . , ak. The Frobenius Problem is to determine the largest positive integer that is NOT representable as a nonnegative integer combination of given positive integers that are coprime (see [15] for general references). This number is denoted by g(a1, . . . , ak) and often called Frobenius number. The Frobenius Problem has been also known as the Coin Exchange Problem (or Postage Stamp Problem / Chicken McNugget Problem), which","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42780849","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: 16
ON HECKE L-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT 附于半积分权值的尖端形式的左旋函数
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/KYUSHUJM.75.125
W. Kohnen
{"title":"ON HECKE L-FUNCTIONS ATTACHED TO CUSP FORMS OF HALF-INTEGRAL WEIGHT","authors":"W. Kohnen","doi":"10.2206/KYUSHUJM.75.125","DOIUrl":"https://doi.org/10.2206/KYUSHUJM.75.125","url":null,"abstract":"We give a characterization of cusp forms of half-integral weight of level four in the plus space in terms of a functional equation of attached L-series.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68557631","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
NON-SINGULAR EXTENSIONS OF MORSE FUNCTIONS ON DISCONNECTED SURFACES 非连通曲面上Morse函数的非奇异扩展
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/KYUSHUJM.75.23
Kentaro Iwamoto
{"title":"NON-SINGULAR EXTENSIONS OF MORSE FUNCTIONS ON DISCONNECTED SURFACES","authors":"Kentaro Iwamoto","doi":"10.2206/KYUSHUJM.75.23","DOIUrl":"https://doi.org/10.2206/KYUSHUJM.75.23","url":null,"abstract":"In this paper, we study non-singular extensions of Morse functions on closed orientable surfaces. By a non-singular extension of such a Morse function, we mean an extension to a function without critical points on some compact orientable 3-manifold having as boundary the given surface. In 1977, Curley characterized the existence of non-singular extensions of non-singular boundary germs in terms of combinatorics on associated labeled Reeb graphs. We apply Curley’s result to show that every Morse function on a closed orientable (possibly disconnected) surface has a non-singular extension to a 3-manifold that is connected.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68558005","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
SUBQUOTIENTS OF A FINITE PRODUCT AND THEIR SELF-HOMOTOPY EQUIVALENCES 有限乘积的子商及其自同伦等价
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/KYUSHUJM.75.129
Hiroshi Kihara, Nobuyuki Oda
{"title":"SUBQUOTIENTS OF A FINITE PRODUCT AND THEIR SELF-HOMOTOPY EQUIVALENCES","authors":"Hiroshi Kihara, Nobuyuki Oda","doi":"10.2206/KYUSHUJM.75.129","DOIUrl":"https://doi.org/10.2206/KYUSHUJM.75.129","url":null,"abstract":"Given a set X = (X1, X2, . . . , Xm) of pointed spaces, we introduce a family {X(k,l)} of subquotients of X1 × X2 × · · · × Xm . This family extends the family of subspaces of X1 × X2 × · · · × Xm introduced by G. J. Porter and contains the product, the fat wedge, the wedge and the smash product. The (co)homology with field coefficients of X(k,l) is completely determined, which is used to study the group E(X(k,l)) of self-homotopy equivalences of X(k,l). Especially, in the case of X1 = X2 = · · · = Xm = X , we construct a homomorphism (k,l) from the semi-direct product of the m-fold product E(X)m and the symmetric group Sm to E(X(k,l)) and give sufficient conditions for (k,l) to be injective. We apply this result to the case where X = Sn , CPn , or K (Ar , n) with A a subring of Q or a field Z/p, providing an important subgroup of E(X(k,l)).","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68558068","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
OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS FD 由超几何函数fd导出的大久保型微分方程
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/KYUSHUJM.75.1
Mitsuo Kato
{"title":"OKUBO TYPE DIFFERENTIAL EQUATIONS DERIVED FROM HYPERGEOMETRIC FUNCTIONS FD","authors":"Mitsuo Kato","doi":"10.2206/KYUSHUJM.75.1","DOIUrl":"https://doi.org/10.2206/KYUSHUJM.75.1","url":null,"abstract":". From Lauricella’s hypergeometric functions in n variables, we construct a special type of Pfaffian equations of rank n + 1 called Okubo type differential equations. For each homogenized Okubo type differential equation, we construct special n + 1 coordinate functions called flat coordinate functions and an ( n + 1 ) -tuple of homogeneous functions called a potential vector.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68557603","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
EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME 齐次各向同性时空中半线性复ginzburg-landau型方程整体解的存在性和不存在性
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/kyushujm.75.169
Makoto Nakamura, Y. Sato
{"title":"EXISTENCE AND NON-EXISTENCE OF GLOBAL SOLUTIONS FOR THE SEMILINEAR COMPLEX GINZBURG-LANDAU TYPE EQUATION IN HOMOGENEOUS AND ISOTROPIC SPACETIME","authors":"Makoto Nakamura, Y. Sato","doi":"10.2206/kyushujm.75.169","DOIUrl":"https://doi.org/10.2206/kyushujm.75.169","url":null,"abstract":"The Cauchy problem for the semilinear complex Ginzburg–Landau type equation is considered in homogeneous and isotropic spacetime. Global solutions and their asymptotic behaviours for small initial data are obtained. The non-existence of non-trivial global solutions is also shown. The effects of spatial expansion and contraction are studied through the problem.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68558298","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
ON THETA FUNCTIONS OF BINARY QUADRATIC FORMS WITH CONGRUENCE CONDITION 具有同余条件的二元二次型函数
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/KYUSHUJM.75.41
Masanari Kida, Ryota Okano, Ken Yokoyama
{"title":"ON THETA FUNCTIONS OF BINARY QUADRATIC FORMS WITH CONGRUENCE CONDITION","authors":"Masanari Kida, Ryota Okano, Ken Yokoyama","doi":"10.2206/KYUSHUJM.75.41","DOIUrl":"https://doi.org/10.2206/KYUSHUJM.75.41","url":null,"abstract":"We study modular properties of theta functions of binary quadratic forms with congruence condition and compute their values at arbitrary cusps.","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68558735","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
INTERLACING OF ZEROS OF EISENSTEIN SERIES 爱森斯坦级数零的交错
IF 0.4 4区 数学
Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI: 10.2206/kyushujm.75.249
Trevor Griffin, Nathan Kenshur, Abigail Price, Bradshaw Vandenberg-Daves, Hui Xue, Daozhou Zhu
{"title":"INTERLACING OF ZEROS OF EISENSTEIN SERIES","authors":"Trevor Griffin, Nathan Kenshur, Abigail Price, Bradshaw Vandenberg-Daves, Hui Xue, Daozhou Zhu","doi":"10.2206/kyushujm.75.249","DOIUrl":"https://doi.org/10.2206/kyushujm.75.249","url":null,"abstract":". Let E k ( z ) be the normalized Eisenstein series of weight k for the full modular group SL ( 2 , Z ) . Let a > 0 be an even integer. In this paper we completely determine when the zeros of E k interlace with the zeros of E k + a . This generalizes a result of Nozaki on the interlacing of zeros of E k and E k + 12 .","PeriodicalId":49929,"journal":{"name":"Kyushu Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68558105","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: 2
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