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A note on the non-vanishing of Poincaré series for the Fricke group $Gamma_{0}^{+}(p)$ 关于Fricke群$Gamma_{0}^{+}(p)$的poincar<e:1>级数不消失的一个注记
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-03-01 DOI: 10.3792/PJAA.95.24
Soyoung Choi, Bo-Hae Im
{"title":"A note on the non-vanishing of Poincaré series for the Fricke group $Gamma_{0}^{+}(p)$","authors":"Soyoung Choi, Bo-Hae Im","doi":"10.3792/PJAA.95.24","DOIUrl":"https://doi.org/10.3792/PJAA.95.24","url":null,"abstract":"For each prime p, we give an upper bound in m for Poincaré series Pþ k ðz;mÞ of weight k for 0 ðpÞ to be non-vanishing.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86878137","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
Log Iitaka conjecture for abundant log canonical fibrations 多对数正则振动的Log Iitaka猜想
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-02-28 DOI: 10.3792/pjaa.96.017
K. Hashizume
{"title":"Log Iitaka conjecture for abundant log canonical fibrations","authors":"K. Hashizume","doi":"10.3792/pjaa.96.017","DOIUrl":"https://doi.org/10.3792/pjaa.96.017","url":null,"abstract":"We prove that the log Iitaka conjecture holds for log canonical fibrations when log canonical divisor of a sufficiently general fiber is abundant.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82423240","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
Classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms 允许标准紧化Clifford-Klein形式的不可约对称空间的分类
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-02-01 DOI: 10.3792/PJAA.95.11
Koichi Tojo
{"title":"Classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms","authors":"Koichi Tojo","doi":"10.3792/PJAA.95.11","DOIUrl":"https://doi.org/10.3792/PJAA.95.11","url":null,"abstract":": We give a classification of irreducible symmetric spaces which admit standard compact Clifford–Klein forms. The method uses representation theory over the real number field and the criterion for properness and cocompactness of the action on homogeneous spaces due to T. Kobayashi.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85866014","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: 7
Hypertranscendence of the multiple sine function for a complex period 复周期多重正弦函数的超超越
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-02-01 DOI: 10.3792/pjaa.95.16
Masakimi Kato
{"title":"Hypertranscendence of the multiple sine function for a complex period","authors":"Masakimi Kato","doi":"10.3792/pjaa.95.16","DOIUrl":"https://doi.org/10.3792/pjaa.95.16","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76352640","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
The number of orientable small covers over a product of simplices 简单积上可定向的小盖的数目
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-01-01 DOI: 10.3792/pjaa.95.1
Murat Altunbulak, A. Ilhan
{"title":"The number of orientable small covers over a product of simplices","authors":"Murat Altunbulak, A. Ilhan","doi":"10.3792/pjaa.95.1","DOIUrl":"https://doi.org/10.3792/pjaa.95.1","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78275042","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
The signs of the Stieltjes constants associated with the Dedekind zeta function 与Dedekind zeta函数相关的Stieltjes常数的符号
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-12-01 DOI: 10.3792/pjaa.94.93
Sumaia Saad Eddin
{"title":"The signs of the Stieltjes constants associated with the Dedekind zeta function","authors":"Sumaia Saad Eddin","doi":"10.3792/pjaa.94.93","DOIUrl":"https://doi.org/10.3792/pjaa.94.93","url":null,"abstract":"The Stieltjes constants $gamma_n(K)$ of a number field $K$ are the coefficients of the Laurent expansion of the Dedekind zeta function $zeta_K(s)$ at its pole $s=1$. In this paper, we establish a similar expression of $gamma_n(K)$ as Stieltjes obtained in 1885 for $gamma_n(mathbb Q)$. We also study the signs of $gamma_n(K)$.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74686771","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
A generalization of the Tutte polynomials 图特多项式的推广
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-10-11 DOI: 10.3792/pjaa.95.111
T. Miezaki, M. Oura, Tadashi Sakuma, Hidehiro Shinohara
{"title":"A generalization of the Tutte polynomials","authors":"T. Miezaki, M. Oura, Tadashi Sakuma, Hidehiro Shinohara","doi":"10.3792/pjaa.95.111","DOIUrl":"https://doi.org/10.3792/pjaa.95.111","url":null,"abstract":"In this paper, we introduce the concept of the Tutte polynomials of genus $g$ and discuss some of its properties. We note that the Tutte polynomials of genus one are well-known Tutte polynomials. The Tutte polynomials are matroid invariants, and we claim that the Tutte polynomials of genus $g$ are also matroid invariants. The main result of this paper and the forthcoming paper declares that the Tutte polynomials of genus $g$ are complete matroid invariants.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88346617","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 products of cyclic and abelian finite $p$-groups ($ p$ odd) 关于循环和阿贝尔有限$p$-群的积($ p$奇数)
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-10-01 DOI: 10.3792/pjaa.94.77
B. McCann
{"title":"On products of cyclic and abelian finite $p$-groups ($ p$ odd)","authors":"B. McCann","doi":"10.3792/pjaa.94.77","DOIUrl":"https://doi.org/10.3792/pjaa.94.77","url":null,"abstract":"For an odd prime p, it is shown that if G 1⁄4 AB is a finite p-group, for subgroups A and B such that A is cyclic and B is abelian of exponent at most p, then kðAÞB E G, where kðAÞ 1⁄4 hg 2 A j g k 1⁄4 1i.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89075811","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
Left-orderability for surgeries on twisted torus knots 扭环结手术的左序性
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-09-04 DOI: 10.3792/PJAA.95.6
Anh T. Tran
{"title":"Left-orderability for surgeries on twisted torus knots","authors":"Anh T. Tran","doi":"10.3792/PJAA.95.6","DOIUrl":"https://doi.org/10.3792/PJAA.95.6","url":null,"abstract":"We show that the fundamental group of the $3$-manifold obtained by $frac{p}{q}$-surgery along the $(n-2)$-twisted $(3,3m+2)$-torus knot, with $n,m ge 1$, is not left-orderable if $frac{p}{q} ge 2n + 6m-3$ and is left-orderable if $frac{p}{q}$ is sufficiently close to $0$.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87007332","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: 8
On the order of holomorphic curves with maximal deficiency sum, II 关于具有最大缺陷和的全纯曲线的阶，2
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2018-07-01 DOI: 10.2996/KMJ/1138043483
Nobushige Toda
{"title":"On the order of holomorphic curves with maximal deficiency sum, II","authors":"Nobushige Toda","doi":"10.2996/KMJ/1138043483","DOIUrl":"https://doi.org/10.2996/KMJ/1138043483","url":null,"abstract":": In this paper we consider the order of holomorphic curves with maximal deficiency sum in the complex plane. The purpose of this paper is to weaken the condition treated in the paper [9]. As a special case we obtain the result in [9].","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89460847","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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