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
Non-purely non-symplectic automorphisms of order 6 on $K3$ surfaces K3曲面上的6阶非纯非辛自同构
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-10-11 DOI: 10.3792/pjaa.97.012
Nirai Shin-yashiki, Shingo Taki
{"title":"Non-purely non-symplectic automorphisms of order 6 on $K3$ surfaces","authors":"Nirai Shin-yashiki, Shingo Taki","doi":"10.3792/pjaa.97.012","DOIUrl":"https://doi.org/10.3792/pjaa.97.012","url":null,"abstract":"In this paper we study non-symplectic automorphisms of order 6 on $K3$ surfaces which are not purely. In particular we shall describe their fixed loci.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80274671","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
Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions 层$N$和预齐次zeta函数的质量形式的Shintani对应
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-10-06 DOI: 10.3792/pjaa.98.008
K. Sugiyama
{"title":"Shintani correspondence for Maass forms of level $N$ and prehomogeneous zeta functions","authors":"K. Sugiyama","doi":"10.3792/pjaa.98.008","DOIUrl":"https://doi.org/10.3792/pjaa.98.008","url":null,"abstract":"A Shintani-Katok-Sarnak type correspondence for Maass cusp forms of level N is shown to be derived from analytic properties of prehomogeneous zeta functions whose coefficients involve periods of Maass forms.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76739587","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
On inversion of adjunction 论附加词的倒置
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-07-10 DOI: 10.3792/pjaa.98.003
O. Fujino, K. Hashizume
{"title":"On inversion of adjunction","authors":"O. Fujino, K. Hashizume","doi":"10.3792/pjaa.98.003","DOIUrl":"https://doi.org/10.3792/pjaa.98.003","url":null,"abstract":"Summary: We first announce our recent result on adjunction and inversion of adjunction. Then we clarify the relationship between our inversion of adjunction and Hacon’s inversion of adjunction for log canonical centers of arbitrary codimension.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78626857","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 elliptic curves induced by rational Diophantine quadruples 有理丢番图四重体诱导的椭圆曲线
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-05-15 DOI: 10.3792/pjaa.98.001
A. Dujella, G. Soydan
{"title":"On elliptic curves induced by rational Diophantine quadruples","authors":"A. Dujella, G. Soydan","doi":"10.3792/pjaa.98.001","DOIUrl":"https://doi.org/10.3792/pjaa.98.001","url":null,"abstract":"In this paper, we consider elliptic curves induced by rational Diophantine quadruples, i.e. sets of four nonzero rationals such that the product of any two of them plus 1 is a perfect square. We show that for each of the groups Z/2Z × Z/kZ for k = 2, 4, 6, 8, there are infinitely many rational Diophantine quadruples with the property that the induced elliptic curve has this torsion group. We also construct curves with moderately large rank in each of these four cases.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80508092","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
Rigidity of Euler products 欧拉积的刚度
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2021-03-11 DOI: 10.3792/pjaa.97.016
S. Koyama, N. Kurokawa
{"title":"Rigidity of Euler products","authors":"S. Koyama, N. Kurokawa","doi":"10.3792/pjaa.97.016","DOIUrl":"https://doi.org/10.3792/pjaa.97.016","url":null,"abstract":": We report simple rigidity theorems for Euler products under deformations of Euler factors. Certain products of the Riemann zeta function are rigid in the sense that there exist no deformations which preserve the meromorphy on C .","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2021-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82520326","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
Iterated towers of number fields by a quadratic map defined over the Gaussian rationals 通过在高斯有理数上定义的二次映射迭代数域塔
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-10-01 DOI: 10.3792/PJAA.96.012
Yasushi Mizusawa, Kota Yamamoto
{"title":"Iterated towers of number fields by a quadratic map defined over the Gaussian rationals","authors":"Yasushi Mizusawa, Kota Yamamoto","doi":"10.3792/PJAA.96.012","DOIUrl":"https://doi.org/10.3792/PJAA.96.012","url":null,"abstract":": An iterated tower of number fields is constructed by adding preimages of a base point by iterations of a rational map. A certain basic quadratic rational map defined over the Gaussian number field yields such a tower of which any two steps are relative bicyclic biquadratic extensions. Regarding such towers as analogues of Z 2 -extensions, we examine the parity of 2-ideal class numbers along the towers with some examples.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80712507","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
Algebraic independence of certain infinite products involving the Fibonacci numbers 涉及斐波那契数的无穷积的代数独立性
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-09-14 DOI: 10.3792/PJAA.97.006
D. Duverney, Y. Tachiya
{"title":"Algebraic independence of certain infinite products\u0000 involving the Fibonacci numbers","authors":"D. Duverney, Y. Tachiya","doi":"10.3792/PJAA.97.006","DOIUrl":"https://doi.org/10.3792/PJAA.97.006","url":null,"abstract":"Let ${F_{n}}_{ngeq0}$ be the sequence of the Fibonacci numbers. The aim of this paper is to give explicit formulae for the infinite products [ prod_{n=1}^{infty}left( 1+frac{1}{F_{n}}right) ,qquadprod_{n=3}^{infty}left( 1-frac{1}{F_{n}}right) ] in terms of the values of the Jacobi theta functions. From this we deduce the algebraic independence over $mathbb{Q}$ of the above numbers by applying Bertrand's theorem on the algebraic independence of the values of the Jacobi theta functions.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86919266","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
New results on slowly varying functions in the Zygmund sense 齐格蒙德意义上的慢变函数的新结果
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-06-01 DOI: 10.3792/pjaa.96.009
E. Omey, M. Cadena
{"title":"New results on slowly varying functions in the Zygmund sense","authors":"E. Omey, M. Cadena","doi":"10.3792/pjaa.96.009","DOIUrl":"https://doi.org/10.3792/pjaa.96.009","url":null,"abstract":"","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76634563","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
PBW theoretic approach to the module category of quantum affine algebras 量子仿射代数模范畴的PBW理论研究
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-05-11 DOI: 10.3792/PJAA.97.007
M. Kashiwara, Myungho Kim, Se-jin Oh, E. Park
{"title":"PBW theoretic approach to the module category of\u0000 quantum affine algebras","authors":"M. Kashiwara, Myungho Kim, Se-jin Oh, E. Park","doi":"10.3792/PJAA.97.007","DOIUrl":"https://doi.org/10.3792/PJAA.97.007","url":null,"abstract":"Let $U_q'(mathfrak{g})$ be a quantum affine algebra of untwisted affine ADE type and let $mathcal{C}^0_{mathfrak{g}}$ be Hernandez-Leclerc's category. For a duality datum $mathcal{D}$ in $mathcal{C}^0_{mathfrak{g}}$, we denote by $mathcal{F}_{mathcal{D}}$ the quantum affine Weyl-Schur duality functor. We give sufficient conditions for a duality datum $mathcal{D}$ to provide the functor $mathcal{F}_{mathcal{D}}$ sending simple modules to simple modules. Then we introduce the notion of cuspidal modules in $mathcal{C}^0_{mathfrak{g}}$, and show that all simple modules in $mathcal{C}^0_{mathfrak{g}}$ can be constructed as the heads of ordered tensor products of cuspidal modules.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-05-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73887503","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 a Diophantine equation involving powers of Fibonacci numbers 关于一个涉及斐波那契数幂的丢番图方程
IF 0.5 4区 数学
Proceedings of the Japan Academy Series A-Mathematical Sciences Pub Date : 2020-04-01 DOI: 10.3792/pjaa.96.007
K. Gueth, F. Luca, L. Szalay
{"title":"On a Diophantine equation involving powers of Fibonacci numbers","authors":"K. Gueth, F. Luca, L. Szalay","doi":"10.3792/pjaa.96.007","DOIUrl":"https://doi.org/10.3792/pjaa.96.007","url":null,"abstract":"This paper deals with the diophantine equation F 1 þ 2F p 2 þ þ kF p k 1⁄4 F n, an equation on the weighted power terms of Fibonacci sequence. For the exponents p; q 2 f1; 2g the problem has already been solved in ad hoc ways using the properties of the summatory identities appear on the left-hand side of the equation. Here we suggest a uniform treatment for arbitrary positive integers p and q which works, in practice, for small values. We obtained all the solutions for p; q 10 by testing the new approach.","PeriodicalId":49668,"journal":{"name":"Proceedings of the Japan Academy Series A-Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":0.5,"publicationDate":"2020-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74880605","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
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