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Journal De Theorie Des Nombres De Bordeaux最新文献

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Asymptotic behavior of class groups and cyclotomic Iwasawa theory of elliptic curves 类群的渐近性与椭圆曲线的分环Iwasawa理论
4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-10-10 DOI: 10.5802/jtnb.1258
Toshiro Hiranouchi, Tatsuya Ohshita
{"title":"Asymptotic behavior of class groups and cyclotomic Iwasawa theory of elliptic curves","authors":"Toshiro Hiranouchi, Tatsuya Ohshita","doi":"10.5802/jtnb.1258","DOIUrl":"https://doi.org/10.5802/jtnb.1258","url":null,"abstract":"In this article, we study a relation between certain quotients of ideal class groups and the cyclotomic Iwasawa module X ∞ of the Pontrjagin dual of the fine Selmer group of an elliptic curve E defined over ℚ. We consider the Galois extension field K n E of ℚ generated by coordinates of all p n -torsion points of E, and introduce a quotient A n E of the p-Sylow subgroup of the ideal class group of K n E cut out by the modulo p n Galois representation E[p n ]. We describe the asymptotic behavior of A n E by using the Iwasawa module X ∞ . In particular, under certain conditions, we obtain an asymptotic formula as Iwasawa’s class number formula on the order of A n E by using Iwasawa’s invariants of X ∞ .","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136294166","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
Sato–Tate Distributions of Catalan Curves Catalan曲线的Sato-Tate分布
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-05-04 DOI: 10.5802/jtnb.1238
Heidi Goodson
{"title":"Sato–Tate Distributions of Catalan Curves","authors":"Heidi Goodson","doi":"10.5802/jtnb.1238","DOIUrl":"https://doi.org/10.5802/jtnb.1238","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43569392","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 the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple ℤ p -Extensions Over Imaginary Quadratic Fields 关于最大倍数的未分枝Iwasawa模的循环性ℤ 虚二次域上的p-扩张
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1232
Takashi Miura, Kazuaki Murakami, K. Okano, Rei Otsuki
{"title":"On the Cyclicity of the Unramified Iwasawa Modules of the Maximal Multiple ℤ p -Extensions Over Imaginary Quadratic Fields","authors":"Takashi Miura, Kazuaki Murakami, K. Okano, Rei Otsuki","doi":"10.5802/jtnb.1232","DOIUrl":"https://doi.org/10.5802/jtnb.1232","url":null,"abstract":"For an odd prime number p, we study the number of generators of the unramified Iwasawa modules of the maximal multiple Zp-extensions over Iwasawa algebra. In a previous paper of the authors, under several assumptions for an imaginary quadratic field, we obtain a necessary and sufficient condition for the Iwasawa module to be cyclic as a module over the Iwasawa algebla. Our main result is to give methods for computation and numerical examples about the results. We remark that our results do not need the assumption that Greenberg’s generalized conjecture holds.","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45907585","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
An a priori bound for rational functions on the Berkovich projective line 有理函数在Berkovich投影线上的先验界
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1224
Y. Okuyama
{"title":"An a priori bound for rational functions on the Berkovich projective line","authors":"Y. Okuyama","doi":"10.5802/jtnb.1224","DOIUrl":"https://doi.org/10.5802/jtnb.1224","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43460229","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
Factoring Gleason polynomials modulo 2 模2的因子分解Gleason多项式
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1228
Xavier Buff, W. Floyd, Sarah C. Koch, W. Parry
{"title":"Factoring Gleason polynomials modulo 2","authors":"Xavier Buff, W. Floyd, Sarah C. Koch, W. Parry","doi":"10.5802/jtnb.1228","DOIUrl":"https://doi.org/10.5802/jtnb.1228","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47457923","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
Control Theorems for Fine Selmer Groups 精细Selmer群的控制定理
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1231
Debanjana Kundu, M. Lim
{"title":"Control Theorems for Fine Selmer Groups","authors":"Debanjana Kundu, M. Lim","doi":"10.5802/jtnb.1231","DOIUrl":"https://doi.org/10.5802/jtnb.1231","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48669689","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
Upper bounds and spectrum for approximation exponents for subspaces of ℝ n 近似指数的上界和谱
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1230
Elio Joseph
{"title":"Upper bounds and spectrum for approximation exponents for subspaces of ℝ n ","authors":"Elio Joseph","doi":"10.5802/jtnb.1230","DOIUrl":"https://doi.org/10.5802/jtnb.1230","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48059140","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
Polynomial approximations in a generalized Nyman–Beurling criterion 广义Nyman-Bourling准则中的多项式近似
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1227
F. Alouges, Sébastien Darses, Erwan Hillion
{"title":"Polynomial approximations in a generalized Nyman–Beurling criterion","authors":"F. Alouges, Sébastien Darses, Erwan Hillion","doi":"10.5802/jtnb.1227","DOIUrl":"https://doi.org/10.5802/jtnb.1227","url":null,"abstract":"Résumé. Le critère de Nyman–Beurling, équivalent à l’hypothèse de Riemann (HR), est un problème d’approximation dans l’espace des fonctions de carré intégrable sur (0 , ∞ ), par des dilatations de facteurs θ k ∈ (0 , 1), k ≥ 1, de la fonction partie fractionnaire. Prendre les θ k alétoires génère de nouvelles structures et de nouveaux critères. L’un d’eux est une condition suffisante pour HR qui revient à","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46979576","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 note on Quebbemann’s extremal lattices of rank 64 关于64阶Quebbemann极值格的一个注记
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1229
I. Shimada
{"title":"A note on Quebbemann’s extremal lattices of rank 64","authors":"I. Shimada","doi":"10.5802/jtnb.1229","DOIUrl":"https://doi.org/10.5802/jtnb.1229","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46574632","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
Local distinction, quadratic base change and automorphic induction for GL n gln的局部区分、二次基变换与自同构归纳
IF 0.4 4区 数学
Journal De Theorie Des Nombres De Bordeaux Pub Date : 2023-01-27 DOI: 10.5802/jtnb.1233
N. Matringe
{"title":"Local distinction, quadratic base change and automorphic induction for GL n ","authors":"N. Matringe","doi":"10.5802/jtnb.1233","DOIUrl":"https://doi.org/10.5802/jtnb.1233","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2023-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43790395","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
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