Pub Date : 2018-12-01DOI: 10.21099/TKBJM/1554170419
U. Ki, Hiroyuki Kurihara
{"title":"Commuting structure Jacobi operators for real hypersurfaces in complex space forms II","authors":"U. Ki, Hiroyuki Kurihara","doi":"10.21099/TKBJM/1554170419","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170419","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44727771","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}
Pub Date : 2018-12-01DOI: 10.21099/tkbjm/1554170426
Y. Kasahara
{"title":"A note on the product of independent random variables with regularly varying tails","authors":"Y. Kasahara","doi":"10.21099/tkbjm/1554170426","DOIUrl":"https://doi.org/10.21099/tkbjm/1554170426","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46513350","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}
Pub Date : 2018-12-01DOI: 10.21099/TKBJM/1554170424
Yasuhiro Hara
{"title":"A topological proof of Chen's alternative Kneser coloring theorem","authors":"Yasuhiro Hara","doi":"10.21099/TKBJM/1554170424","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170424","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45574979","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}
Pub Date : 2018-12-01DOI: 10.21099/tkbjm/1554170423
Y. F. Ortiz-Castillo, A. H. Tomita, Takamitsu Yamauchi
We provide a su‰cient condition for a proper metric space in may be of Wallman type.
我们给出了一个适当度量空间的充分条件,它可以是Wallman型的。
{"title":"Higson compactifications of Wallman type","authors":"Y. F. Ortiz-Castillo, A. H. Tomita, Takamitsu Yamauchi","doi":"10.21099/tkbjm/1554170423","DOIUrl":"https://doi.org/10.21099/tkbjm/1554170423","url":null,"abstract":"We provide a su‰cient condition for a proper metric space in may be of Wallman type.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41817900","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}
Pub Date : 2018-12-01DOI: 10.21099/TKBJM/1554170427
Y. Kachi, P. Tzermias
There is a well-known formula for the Hurwitz zeta function which implies the functional equation for the Riemann zeta function. We give a new proof of that formula and recover certain integral representations for the Hurwitz and Riemann zeta functions.
{"title":"A formula for the Hurwitz zeta function, Riemann's functional equation and certain integral representations","authors":"Y. Kachi, P. Tzermias","doi":"10.21099/TKBJM/1554170427","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170427","url":null,"abstract":"There is a well-known formula for the Hurwitz zeta function which implies the functional equation for the Riemann zeta function. We give a new proof of that formula and recover certain integral representations for the Hurwitz and Riemann zeta functions.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46908976","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}
Pub Date : 2018-07-01DOI: 10.21099/TKBJM/1541559648
M. Fujii, M. Oura
We show that the ring of the weight enumerators of a self-dual doubly even code dn in arbitrary genus is finitely generated. Indeed enough elements to generate it are given. The latter result is applied to obtain a minimal set of generators of the ring in genus two.
{"title":"Ring of the weight enumerators of $d_n^+$","authors":"M. Fujii, M. Oura","doi":"10.21099/TKBJM/1541559648","DOIUrl":"https://doi.org/10.21099/TKBJM/1541559648","url":null,"abstract":"We show that the ring of the weight enumerators of a self-dual doubly even code dn in arbitrary genus is finitely generated. Indeed enough elements to generate it are given. The latter result is applied to obtain a minimal set of generators of the ring in genus two.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1541559648","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45536417","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}
Pub Date : 2018-07-01DOI: 10.21099/tkbjm/1541559651
Tatsumasa Ura
{"title":"Constant negative Gaussian curvature tori and their singularities","authors":"Tatsumasa Ura","doi":"10.21099/tkbjm/1541559651","DOIUrl":"https://doi.org/10.21099/tkbjm/1541559651","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46572940","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}
Pub Date : 2018-07-01DOI: 10.21099/tkbjm/1541559652
T. Kamiyoshi, M. Nagura, Shin-ichi Otani
{"title":"Associated binomial inversion for unified Stirling numbers and counting subspaces generated by subsets of a root system","authors":"T. Kamiyoshi, M. Nagura, Shin-ichi Otani","doi":"10.21099/tkbjm/1541559652","DOIUrl":"https://doi.org/10.21099/tkbjm/1541559652","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1541559652","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48562991","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}
Pub Date : 2018-03-30DOI: 10.21099/TKBJM/1554170425
Ryo Umezawa
T. Ito defined an analog of the Arakawa-Kaneko zeta function to obtain relations among Mordell-Tornheim multiple zeta values. In this paper, we develop two things related to an analog of the Arakawa-Kaneko zeta function. One is to find an analog of the Arakawa-Kaneko zeta function of Miyagawa-type (defined by T. Miyagawa) and to obtain a relation among Miyagawa-type MZVs. The other is to find a class of zeta functions to which Ito's zeta functions of the case of general index are related.
{"title":"On an analog of the Arakawa-Kaneko zeta function and relations of some multiple zeta values","authors":"Ryo Umezawa","doi":"10.21099/TKBJM/1554170425","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170425","url":null,"abstract":"T. Ito defined an analog of the Arakawa-Kaneko zeta function to obtain relations among Mordell-Tornheim multiple zeta values. In this paper, we develop two things related to an analog of the Arakawa-Kaneko zeta function. One is to find an analog of the Arakawa-Kaneko zeta function of Miyagawa-type (defined by T. Miyagawa) and to obtain a relation among Miyagawa-type MZVs. The other is to find a class of zeta functions to which Ito's zeta functions of the case of general index are related.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41473239","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}
Pub Date : 2018-03-01DOI: 10.21099/TKBJM/1554170421
Yutaka Iwamoto
In this paper, we study the topological properties of the subpower Higson corona of proper metric spaces and show that the subpower Higson corona of the half open interval with the usual metric is an indecomposable continuum. Some surjective maps from the Higson type coronas onto the Higson type compactifications of the half open interval are also constructed.
{"title":"An indecomposable continuum as subpower Higson corona","authors":"Yutaka Iwamoto","doi":"10.21099/TKBJM/1554170421","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170421","url":null,"abstract":"In this paper, we study the topological properties of the subpower Higson corona of proper metric spaces and show that the subpower Higson corona of the half open interval with the usual metric is an indecomposable continuum. Some surjective maps from the Higson type coronas onto the Higson type compactifications of the half open interval are also constructed.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43922957","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}