{"title":"A generalization of Takagi's explicit formulas by Lubin-Tate groups.","authors":"Yutaka Sueyoshi","doi":"10.2206/KYUSHUMFS.47.59","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.59","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128152821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE RIGIDITY OF SOME SPHERICAL 2-DESIGNS","authors":"A. Sali","doi":"10.2206/KYUSHUMFS.47.1","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.1","url":null,"abstract":"In this note we shall determine which Mimura-type spherical 2-designs are rigid. Furthermore we show that spherical 2-designs of d + 2 points in Sd-1 are rigid by showing the spherical 2-design of d + 2 points is unique. We also establish that a 2-design of d + 3 points is non-rigid. This work is intended to shed some lights on conjectures of Bannai. Bannai conjectured [Ba2] that there exists a function f(d, t) such that if X is a spherical t-design in Sd-1 and |X| > f(d, t), than X is non-rigid. He has showed that f(2, t) = 2t + 1.","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124376206","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"COMBINATORIAL STRUCTURE OF THE CONFIGURATION SPACE OF 6 POINTS ON THE PROJECTIVE PLANE","authors":"K. Cho, Keiji Matsumoto, Masaaki Yoshida","doi":"10.2206/KYUSHUMFS.47.119","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.119","url":null,"abstract":"Let X = X (3, 6) be the configuration space of six lines in general position in the projective plane; the space can be thought of the quotient space X = GL (3) ? M*(3, 6; C)/(C*)6, where M*(3, 6; C) is the set of 3 × 6 complex matrices such that any 3 by 3 minor does not vanish. In the previous paper [MSY], we constructed a projective compactification X of X and showed that it is the Satake compactification of the quotient of the 4-dimensional Hermitian symmetric domain H (2, 2) = {z∈M (2, 2; C)|(z − z*)/2i > 0} by an arithmetic group, say Λ acting on H (2, 2). In this paper, we make a detailed study of combinatorial properties of the smooth affine variety X, the singular projective variety X and the parabolic parts of the arithmetic group Λ, and make, as an application of these, a toroidal compactification of X, which gives a non-singular model of X. We also treat several other arithmetic subgroups commensurable with Λ. As an appendix, we study the variety X as a toric variety.","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"146 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125177674","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SPEARMAN'S RANK CORRELATION TYPE TWO-SAMPLE TEST","authors":"K. Fueda","doi":"10.2206/KYUSHUMFS.47.27","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.27","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"147 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130151784","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"ON THE REGULARITY AND UNIQUENESS OF WEAK SOLUTIONS FOR THE NAVIER-STOKES EQUATIONS","authors":"H. Kato","doi":"10.2206/KYUSHUMFS.47.183","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.183","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116013023","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On characteristic twists of certain dirichlet series","authors":"W. Kohnen","doi":"10.2206/KYUSHUMFS.47.103","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.47.103","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"XCVI 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1993-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128654247","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"SAMPLE PATHS OF RANDOM LINEAR OPERATORS IN BANACH SPACES","authors":"D. Thang","doi":"10.2206/KYUSHUMFS.46.287","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.46.287","url":null,"abstract":"In this paper, a random operator A from a Banach space X into a Banach space Y is viewed as a Y-valued random field indexed by the parameter set X. The main results of the paper are various conditions for the existence of a modification of A whose sample paths belong to some subset of the space of linear continuous operators from X into Y.","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"109 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"117198161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"An inequality for primitive translation association schemes","authors":"Toyoharu Itoh, A. Munemasa","doi":"10.2206/KYUSHUMFS.46.189","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.46.189","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"16 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114884409","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Asymptotic analysis of toric ideals","authors":"B. Sturmfels","doi":"10.2206/KYUSHUMFS.46.217","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.46.217","url":null,"abstract":"This partially expository note extends and refines our earlier work on Grobner bases of toric varieties [14]. It is closely related to the theory of A-hypergeometric functions due to Gel′fand Graev, Kapranov and Zelevinsky (see § 6). The main new result in this note is the characterization of the universal Grobner basis of a unimodular toric ideal (see § 5).","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"97 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123141712","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The exponential sereis of the Lubin-Tate groups and p-adic interpolation","authors":"Katsumi Shiratani, T. Imada","doi":"10.2206/KYUSHUMFS.46.351","DOIUrl":"https://doi.org/10.2206/KYUSHUMFS.46.351","url":null,"abstract":"","PeriodicalId":397897,"journal":{"name":"Memoirs of The Faculty of Science, Kyushu University. Series A, Mathematics","volume":"36 6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1992-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124505975","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}