发布求助
文献互助 智能选刊 最新文献

Proceedings of the Japan Academy Series A-Mathematical Sciences最新文献

筛选
英文 中文
On Lecacheux’s family of quintic polynomials 关于Lecacheux的五次多项式族
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-03-30 DOI: 10.3792/pjaa.97.001
A. Hoshi, Masakazu Koshiba
{"title":"On Lecacheux’s family of quintic polynomials","authors":"A. Hoshi, Masakazu Koshiba","doi":"10.3792/pjaa.97.001","DOIUrl":"https://doi.org/10.3792/pjaa.97.001","url":null,"abstract":"Kida, Rikuna and Sato [KRS10] developed a classification theory for Brumer's quintic polynomials via Kummer theory arising from associated elliptic curves. We generalize their results to elliptic curves associated to Lecacheux's quintic $F_{20}$-polynomials instead of Brumer's quintic $D_5$-polynomials.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75589980","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
Contact loci, motivic Milnor fibers of nondegenerate singularities 接触位点，非简并奇点的动力米尔诺纤维
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-02-01 DOI: 10.3792/pjaa.96.003
Q. Lê, T. Nguyen
{"title":"Contact loci, motivic Milnor fibers of nondegenerate singularities","authors":"Q. Lê, T. Nguyen","doi":"10.3792/pjaa.96.003","DOIUrl":"https://doi.org/10.3792/pjaa.96.003","url":null,"abstract":": Inspired by Denef-Loeser’s identity of the Euler characteristic with compact supports of the contact loci with the Lefschetz numbers of a complex singularity, we study sheaf cohomology groups of contact loci of complex nondegenerate singularities. Moreover, also for these singularities, we obtain a motivic analogue of Leˆ Du˜ng Tra´ng’s work on a monodromy relation of a complex singularity and its restriction to a generic hyperplane.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79504292","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
Spectral analysis on pseudo-Riemannian locally symmetric spaces 伪黎曼局部对称空间的谱分析
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-10 DOI: 10.3792/pjaa.96.013
Fanny Kassel, Toshiyuki Kobayashi
{"title":"Spectral analysis on pseudo-Riemannian locally symmetric spaces","authors":"Fanny Kassel, Toshiyuki Kobayashi","doi":"10.3792/pjaa.96.013","DOIUrl":"https://doi.org/10.3792/pjaa.96.013","url":null,"abstract":"We summarize recent results initiating spectral analysis on pseudo-Riemannian locally symmetric spaces $Gamma backslash G/H$, beyond the classical setting where $H$ is compact (e.g. theory of automorphic forms for arithmetic $Gamma$) or $Gamma$ is trivial (e.g. Plancherel-type formula for semisimple symmetric spaces).","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76660367","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
Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity 具有负幂非线性的反应扩散方程中具有淬灭的拟行波
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-01 DOI: 10.3792/pjaa.96.001
Yutaka Ichida, T. Sakamoto
{"title":"Quasi traveling waves with quenching in a reaction-diffusion equation in the presence of negative powers nonlinearity","authors":"Yutaka Ichida, T. Sakamoto","doi":"10.3792/pjaa.96.001","DOIUrl":"https://doi.org/10.3792/pjaa.96.001","url":null,"abstract":": The quasi traveling waves with quenching of u t ¼ u xx þ ð 1 (cid:3) u Þ (cid:3) (cid:2) for (cid:2) 2 2 N are considered. The existence of quasi traveling waves with quenching and their quenching rates are studied by applying the Poincare´ compactification.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77561085","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: 10
The second moment for counting prime geodesics 第二个计算质数测地线的力矩
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-01-01 DOI: 10.3792/pjaa.96.002
I. Kaneko
{"title":"The second moment for counting prime geodesics","authors":"I. Kaneko","doi":"10.3792/pjaa.96.002","DOIUrl":"https://doi.org/10.3792/pjaa.96.002","url":null,"abstract":": A brighter light has freshly been shed upon the second moment of the Prime Geodesic Theorem. We work with such moments in the two and three dimensional hyperbolic spaces. Letting E (cid:2) ð X Þ be the error term arising from counting prime geodesics associated to (cid:2) ¼ PSL 2 ð Z ½ i (cid:2)Þ , the bound E (cid:2) ð X Þ (cid:3) X 3 = 2 þ (cid:2) is proved in a square mean sense. Our second moment bound is the pure counterpart of the work of Balog et al. for (cid:2) ¼ PSL 2 ð Z Þ , and the main innovation entails the delicate analysis of sums of Kloosterman sums. We also infer pointwise bounds from the standpoint of the second moment. Finally, we announce the pointwise bound E (cid:2) ð X Þ (cid:3) X 67 = 42 þ (cid:2) for (cid:2) ¼ PSL 2 ð Z ½ i (cid:2)Þ by an application of the Weyl-type subconvexity.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84012738","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
On the mod 2 cohomology of the classifying space of the exceptional Lie group $E_{6}$ 关于例外李群分类空间的模2上同调
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-11-01 DOI: 10.3792/pjaa.95.91
Masaki Kameko, Masaki Nakagawa, Tetsu Nishimoto
{"title":"On the mod 2 cohomology of the classifying space of the exceptional Lie group $E_{6}$","authors":"Masaki Kameko, Masaki Nakagawa, Tetsu Nishimoto","doi":"10.3792/pjaa.95.91","DOIUrl":"https://doi.org/10.3792/pjaa.95.91","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82078496","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
Limiting cases of Sobolev inequalities on stratified groups 分层群上Sobolev不等式的极限情况
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-10-01 DOI: 10.3792/pjaa.95.83
Michael Ruzhansky, Nurgissa Yessirkegenov
{"title":"Limiting cases of Sobolev inequalities on stratified groups","authors":"Michael Ruzhansky, Nurgissa Yessirkegenov","doi":"10.3792/pjaa.95.83","DOIUrl":"https://doi.org/10.3792/pjaa.95.83","url":null,"abstract":"In this paper we present critical Gagliardo-Nirenberg, Trudinger-type and Brezis-Gallouet-Wainger inequalities concerning the limiting cases of the embedding theorems for Sobolev spaces on stratified groups. Moreover, using the critical Gagliardo-Nirenberg inequality the existence of least energy solutions of the nonlinear Schrodinger type equations can be obtained. We also express the best constant in the critical Gagliardo-Nirenberg inequality in the variational form as well as in terms of the ground state solutions of the corresponding nonlinear subelliptic equations.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87352773","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
Characterizations of weaving $K$-frames 编织$K$框架的特征
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-07-20 DOI: 10.3792/pjaa.96.008
A. Bhandari, Debajit Borah, S. Mukherjee
{"title":"Characterizations of weaving $K$-frames","authors":"A. Bhandari, Debajit Borah, S. Mukherjee","doi":"10.3792/pjaa.96.008","DOIUrl":"https://doi.org/10.3792/pjaa.96.008","url":null,"abstract":"In distributed signal processing frames play significant role as redundant building blocks. Bemrose et. al. were motivated from this concept, as a result they introduced weaving frames in Hilbert space. Weaving frames have useful applications in sensor networks, likewise weaving K-frames have been proved to be useful during signal reconstructions from the range of a bounded linear operator K. This article focuses on study, characterization of weaving K-frames in different spaces. Paley-Wiener type perturbation and conditions on erasure of frame components have been assembled to scrutinize woven-ness of K- frames.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-07-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72370002","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: 6
Corrigendum to “Real abelian fields satisfying the Hilbert-Speiser condition for some small primes $p$” “对一些小素数$p$满足Hilbert-Speiser条件的实阿贝尔域”的更正
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-07-01 DOI: 10.3792/PJAA.95.80
H. Ichimura
{"title":"Corrigendum to “Real abelian fields satisfying the Hilbert-Speiser condition for some small primes $p$”","authors":"H. Ichimura","doi":"10.3792/PJAA.95.80","DOIUrl":"https://doi.org/10.3792/PJAA.95.80","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84033213","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
Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations 标志变异轨道分解与诱导表示多样性的关系
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2019-07-01 DOI: 10.3792/PJAA.95.75
T. Tauchi
{"title":"Relationship between orbit decomposition on the flag varieties and multiplicities of induced representations","authors":"T. Tauchi","doi":"10.3792/PJAA.95.75","DOIUrl":"https://doi.org/10.3792/PJAA.95.75","url":null,"abstract":"Let G be a real reductive Lie group and H a closed subgroup. T. Kobayashi and T. Oshima established a finiteness criterion of multiplicities of irreducible G-modules occurring in the regular representation C1ðG=HÞ by a geometric condition, referred to as real sphericity, namely, H has an open orbit on the real flag variety G=P . This note discusses a refinement of their theorem by replacing a minimal parabolic subgroup P with a general parabolic subgroup Q of G, where a careful analysis is required because the finiteness of the number of H-orbits on the partial flag variety G=Q is not equivalent to the existence of H-open orbit on G=Q.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78940823","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: 5
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信