{"title":"Remarks on a paper of J. Barát and P.P. Varjú","authors":"B. Bollobás","doi":"10.5802/jtnb.1212","DOIUrl":"https://doi.org/10.5802/jtnb.1212","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41844776","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}
{"title":"Enumerating D 4 quartics and a Galois group bias over function fields","authors":"Daniel Keliher","doi":"10.5802/jtnb.1206","DOIUrl":"https://doi.org/10.5802/jtnb.1206","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48845600","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}
{"title":"Moduli Spaces of Shtukas over the Projective Line","authors":"María Inés de Frutos-Fernández","doi":"10.5802/jtnb.1207","DOIUrl":"https://doi.org/10.5802/jtnb.1207","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49512378","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}
{"title":"Transformée de Fourier–Mukai sur les schémas formels","authors":"Florian Viguier","doi":"10.5802/jtnb.1208","DOIUrl":"https://doi.org/10.5802/jtnb.1208","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48701876","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}
{"title":"Root number of the Jacobian of y 2 =x p +a","authors":"Matthew Bisatt","doi":"10.5802/jtnb.1217","DOIUrl":"https://doi.org/10.5802/jtnb.1217","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42873025","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}
{"title":"The Fibonacci sequence and an elliptic curve","authors":"Sungkon Chang","doi":"10.5802/jtnb.1210","DOIUrl":"https://doi.org/10.5802/jtnb.1210","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42528944","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}
Résumé. Nous étudions les sous-modules pseudo-nuls maximaux de certains modules d’Iwasawa construits à partir des groupes de classes d’idéaux dans des Z k p -extensions de corps de nombres. Nous décrivons quelques critères de la non-trivialité de ces modules, en nous concentrant sur les cas k = 1 et k = 2. De plus, nous en déduisons des applications à des formes faibles de la conjecture de Greenberg généralisée (GGC). Abstract. We study the maximal pseudo-null submodules of Iwasawa modules arising from ideal class groups in Z kp -extensions of number fields. We describe several sufficient criteria for the non-triviality of such modules, mainly in dimensions k = 1 and k = 2. This has applications to weak versions of Greenberg’s Generalised Conjecture (GGC).
摘要。我们研究了Iwasawa的一些模块的最大伪空子模块，这些模块由z k p-数域扩展中的理想类组构建。我们描述了这些模块的非平凡性的一些标准，重点关注k=1和k=2的情况。此外，我们推断出广义格林伯格猜想（GGC）的弱形式的应用。摘要。我们研究了岩泽模块的最大伪空子模块，这些子模块来自z kp中的理想类群-编号文件的扩展。我们描述了这些模块的非平凡性的几个Sufficient标准，主要在维数k=1和k=2中。这适用于格林伯格广义猜想（GGC）的弱版本。
{"title":"On pseudo-null Iwasawa modules","authors":"Sören Kleine","doi":"10.5802/jtnb.1218","DOIUrl":"https://doi.org/10.5802/jtnb.1218","url":null,"abstract":"Résumé. Nous étudions les sous-modules pseudo-nuls maximaux de certains modules d’Iwasawa construits à partir des groupes de classes d’idéaux dans des Z k p -extensions de corps de nombres. Nous décrivons quelques critères de la non-trivialité de ces modules, en nous concentrant sur les cas k = 1 et k = 2. De plus, nous en déduisons des applications à des formes faibles de la conjecture de Greenberg généralisée (GGC). Abstract. We study the maximal pseudo-null submodules of Iwasawa modules arising from ideal class groups in Z kp -extensions of number fields. We describe several sufficient criteria for the non-triviality of such modules, mainly in dimensions k = 1 and k = 2. This has applications to weak versions of Greenberg’s Generalised Conjecture (GGC).","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48689796","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}
{"title":"Oscillations in the Goldbach conjecture","authors":"Michael J. Mossinghoff, T. Trudgian","doi":"10.5802/jtnb.1202","DOIUrl":"https://doi.org/10.5802/jtnb.1202","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48573075","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}
{"title":"Explicit L 2 bounds for the Riemann ζ function","authors":"D. Dona', H. Helfgott, S. Z. Alterman","doi":"10.5802/jtnb.1194","DOIUrl":"https://doi.org/10.5802/jtnb.1194","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47279723","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}
{"title":"Relative class numbers of subfields of the p-th cyclotomic field","authors":"T. Fukuda","doi":"10.5802/jtnb.1195","DOIUrl":"https://doi.org/10.5802/jtnb.1195","url":null,"abstract":"","PeriodicalId":48896,"journal":{"name":"Journal De Theorie Des Nombres De Bordeaux","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2022-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45926710","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}
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