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On the Riemann hypothesis for self-dual weight enumerators of genera three and four 关于第3类和第4类自对偶权枚举数的黎曼假设
SUT Journal of Mathematics Pub Date : 2021-06-01 DOI: 10.55937/sut/1622825731
K. Chinen, Y. Imamura
{"title":"On the Riemann hypothesis for self-dual weight enumerators of genera three and four","authors":"K. Chinen, Y. Imamura","doi":"10.55937/sut/1622825731","DOIUrl":"https://doi.org/10.55937/sut/1622825731","url":null,"abstract":". Zeta functions for linear codes were defined by I. Duursma in 1999. In the cases of genera less than three, S. Nishimura gave equivalent conditions for their Riemann hypothesis. In this paper, using a new method, we give similar equivalent conditions for the cases of genera three and four. Our method can be applied to smaller genera and leads to an alternative simple proofs of Nishimura’s theorems. Using these results, we examine the Riemann hypothesis of some invariant polynomials. We also discuss the cases of genera greater than four and propose some new problems.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"25 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85345649","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}
引用次数: 0
A note on the spectrum of a bounded operator on a complex interpolation space 复插值空间上有界算子谱的注释
SUT Journal of Mathematics Pub Date : 2021-06-01 DOI: 10.55937/sut/1623934634
Hisakazu Shindoh
{"title":"A note on the spectrum of a bounded operator on a complex interpolation space","authors":"Hisakazu Shindoh","doi":"10.55937/sut/1623934634","DOIUrl":"https://doi.org/10.55937/sut/1623934634","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"11 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79511186","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}
引用次数: 0
$H^s$ wave front set for Schrödinger equations with sub-quadratic potential $H^s$具有次二次势的Schrödinger方程的波前集
SUT Journal of Mathematics Pub Date : 2021-06-01 DOI: 10.55937/sut/1623939859
Fumihito Abe, Keiichi Kato
{"title":"$H^s$ wave front set for Schrödinger equations with sub-quadratic potential","authors":"Fumihito Abe, Keiichi Kato","doi":"10.55937/sut/1623939859","DOIUrl":"https://doi.org/10.55937/sut/1623939859","url":null,"abstract":". The aim of this work is to study regularity of solutions of the initial value problem for the Schr(cid:127)odinger equations with sub-quadratic potential. More precisely, we determine the H s wave front sets of solutions from the behavior at in(cid:12)nity of the initial data by using the characterization of the H s wave front set via wave packet transform.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"55 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75887006","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}
引用次数: 0
Theta functions of binary quadratic forms with congruence conditions as ray class theta functions 具有同余条件的二元二次型函数作为射线类函数
SUT Journal of Mathematics Pub Date : 2021-06-01 DOI: 10.55937/sut/1623929881
Ryotaro Okano
{"title":"Theta functions of binary quadratic forms with congruence conditions as ray class theta functions","authors":"Ryotaro Okano","doi":"10.55937/sut/1623929881","DOIUrl":"https://doi.org/10.55937/sut/1623929881","url":null,"abstract":". We prove that theta functions of binary quadratic forms with congruence conditions coincide with theta functions attached to ray classes of quadratic (cid:12)elds. By Hecke’s Theorem, we can construct Hecke eigenforms by forming linear combinations of them.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"41 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90112202","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}
引用次数: 0
A survey of sufficient descent conjugate gradient methods for unconstrained optimization 无约束优化的充分下降共轭梯度方法综述
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1424782608
Yasushi Narushima, H. Yabe
{"title":"A survey of sufficient descent conjugate gradient methods for unconstrained optimization","authors":"Yasushi Narushima, H. Yabe","doi":"10.55937/sut/1424782608","DOIUrl":"https://doi.org/10.55937/sut/1424782608","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81660049","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}
引用次数: 24
Research of submanifolds in symmetric spaces by using the complexification and the infinite dimensional geometry 利用复化和无穷维几何研究对称空间中的子流形
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1424971732
N. Koike
{"title":"Research of submanifolds in symmetric spaces by using the complexification and the infinite dimensional geometry","authors":"N. Koike","doi":"10.55937/sut/1424971732","DOIUrl":"https://doi.org/10.55937/sut/1424971732","url":null,"abstract":"This is a survey for the research of submanifolds in symmetric spaces by using the complexification and the infinite dimensional geometry. AMS 2010 Mathematics Subject Classification. 53C40; 53C35.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"80 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86235095","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}
引用次数: 4
Twistor holomorphic affine surfaces and projective invariants 扭转全纯仿射曲面与射影不变量
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1424794189
Kazuyuki Hasegawa
{"title":"Twistor holomorphic affine surfaces and projective invariants","authors":"Kazuyuki Hasegawa","doi":"10.55937/sut/1424794189","DOIUrl":"https://doi.org/10.55937/sut/1424794189","url":null,"abstract":"We study affine immersions with twistor lifts. Using a decomposition of a connection, we obtain several projective invariants for such affine immersions. In particular, affine immersions with holomorphic twistor lifts are considered. We can show the property that an affine immersion has holomorphic twistor lifts is invariant under projective transformations and characterize immersions with holomorphic twistor lifts by vanishing of some of projective invariants. In the case of compact affine surfaces with holomorphic twistor lifts, we see a quantization phenomenon for one of the projective invariants which we obtain. Moreover, we prove that a real analytic twistor holomorphic affine surface with the symmetric Ricci tensor with respect to both complex structures is totally geodesic or totally umbilic.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"751 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76870003","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}
引用次数: 3
Wald-type measure of departure from symmetry for square contingency tables with nominal categories 具有名义范畴的方形列联表的瓦尔德式偏离对称性测度
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1424794013
Kouji Tahata, K. Yamamoto, S. Tomizawa, T. Kouji, Yamamoto Kouji, Tomizawa Sadao.
{"title":"Wald-type measure of departure from symmetry for square contingency tables with nominal categories","authors":"Kouji Tahata, K. Yamamoto, S. Tomizawa, T. Kouji, Yamamoto Kouji, Tomizawa Sadao.","doi":"10.55937/sut/1424794013","DOIUrl":"https://doi.org/10.55937/sut/1424794013","url":null,"abstract":"For square contingency tables with nominal categories, Tomizawa (8) and Tomizawa, Seo and Yamamoto (9) considered power-divergence-type measure to represent the degree of departure from symmetry. This paper pro- poses another measure to represent the degree of departure from symmetry. The proposed measure is defined by using the Matusita distance (5), (6), which is the true distance measure. The proposed measure would be useful for com- paring the degree of departure from symmetry in several tables. Some examples are given.","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84598770","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}
引用次数: 0
Tail quantile approximations for hybrid lognormal distribution 混合对数正态分布的尾分位数近似
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1424795203
Nobumichi Shutoh
{"title":"Tail quantile approximations for hybrid lognormal distribution","authors":"Nobumichi Shutoh","doi":"10.55937/sut/1424795203","DOIUrl":"https://doi.org/10.55937/sut/1424795203","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81283768","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}
引用次数: 0
Hochschild cohomology ring of a cluster-tilted algebra of type D4 D4型簇倾斜代数的Hochschild上同环
SUT Journal of Mathematics Pub Date : 2014-06-01 DOI: 10.55937/sut/1425579912
T. Furuya, Takao Hayami
{"title":"Hochschild cohomology ring of a cluster-tilted algebra of type D4","authors":"T. Furuya, Takao Hayami","doi":"10.55937/sut/1425579912","DOIUrl":"https://doi.org/10.55937/sut/1425579912","url":null,"abstract":"","PeriodicalId":38708,"journal":{"name":"SUT Journal of Mathematics","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2014-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78172440","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}
引用次数: 0
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