发布求助
文献互助 智能选刊 最新文献

Research in Number Theory最新文献

筛选
英文 中文
p-adic vertex operator algebras. p进顶点算子代数。
IF 0.8
Research in Number Theory Pub Date : 2023-01-01 DOI: 10.1007/s40993-023-00433-1
Cameron Franc, Geoffrey Mason
{"title":"<i>p</i>-adic vertex operator algebras.","authors":"Cameron Franc,&nbsp;Geoffrey Mason","doi":"10.1007/s40993-023-00433-1","DOIUrl":"https://doi.org/10.1007/s40993-023-00433-1","url":null,"abstract":"<p><p>We postulate axioms for a chiral half of a nonarchimedean 2-dimensional bosonic conformal field theory, that is, a vertex operator algebra in which a <i>p</i>-adic Banach space replaces the traditional Hilbert space. We study some consequences of our axioms leading to the construction of various examples, including <i>p</i>-adic commutative Banach rings and <i>p</i>-adic versions of the Virasoro, Heisenberg, and the Moonshine module vertex operator algebras. Serre <i>p</i>-adic modular forms occur naturally in some of these examples as limits of classical 1-point functions.</p>","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"9 2","pages":"27"},"PeriodicalIF":0.8,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10071837/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"9289144","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
Kampé de Fériet hypergeometric functions over finite fields 有限域上的超几何函数
IF 0.8
Research in Number Theory Pub Date : 2022-12-29 DOI: 10.1007/s40993-023-00460-y
Ryojun Ito, Satoshi Kumabe, Akio Nakagawa, Yusuke Nemoto
{"title":"Kampé de Fériet hypergeometric functions over finite fields","authors":"Ryojun Ito, Satoshi Kumabe, Akio Nakagawa, Yusuke Nemoto","doi":"10.1007/s40993-023-00460-y","DOIUrl":"https://doi.org/10.1007/s40993-023-00460-y","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"25 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90279150","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fast change of level and applications to isogenies 水平的快速变化和应用到同基因
IF 0.8
Research in Number Theory Pub Date : 2022-12-12 DOI: 10.1007/s40993-022-00407-9
D. Lubicz, Damien Robert
{"title":"Fast change of level and applications to isogenies","authors":"D. Lubicz, Damien Robert","doi":"10.1007/s40993-022-00407-9","DOIUrl":"https://doi.org/10.1007/s40993-022-00407-9","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"26 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81124136","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 12
Triangular modular curves of small genus 小属的三角形模曲线
IF 0.8
Research in Number Theory Pub Date : 2022-11-29 DOI: 10.1007/s40993-022-00395-w
Juanita Duque-Rosero, J. Voight
{"title":"Triangular modular curves of small genus","authors":"Juanita Duque-Rosero, J. Voight","doi":"10.1007/s40993-022-00395-w","DOIUrl":"https://doi.org/10.1007/s40993-022-00395-w","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"285 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72443235","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Rogers–Ramanujan type generalized reciprocal identities and Eisenstein series Rogers-Ramanujan型广义互反恒等式与爱森斯坦级数
IF 0.8
Research in Number Theory Pub Date : 2022-11-29 DOI: 10.1007/s40993-022-00416-8
Zafer Selcuk Aygin
{"title":"Rogers–Ramanujan type generalized reciprocal identities and Eisenstein series","authors":"Zafer Selcuk Aygin","doi":"10.1007/s40993-022-00416-8","DOIUrl":"https://doi.org/10.1007/s40993-022-00416-8","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"1 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88716266","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modular forms via invariant theory 模形式通过不变理论
IF 0.8
Research in Number Theory Pub Date : 2022-11-10 DOI: 10.1007/s40993-023-00442-0
Fabien Cl'ery, G. van der Geer
{"title":"Modular forms via invariant theory","authors":"Fabien Cl'ery, G. van der Geer","doi":"10.1007/s40993-023-00442-0","DOIUrl":"https://doi.org/10.1007/s40993-023-00442-0","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"47 1","pages":"1-10"},"PeriodicalIF":0.8,"publicationDate":"2022-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80664305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3 3属超椭圆曲线雅可比矩阵扭转子群的计算
IF 0.8
Research in Number Theory Pub Date : 2022-11-07 DOI: 10.1007/s40993-023-00429-x
J. Müller, Berno Reitsma
{"title":"Computing torsion subgroups of Jacobians of hyperelliptic curves of genus 3","authors":"J. Müller, Berno Reitsma","doi":"10.1007/s40993-023-00429-x","DOIUrl":"https://doi.org/10.1007/s40993-023-00429-x","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"23 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-11-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80787292","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Correction: Examples of abelian surfaces failing the local-global principle for isogenies 更正:阿贝尔曲面不符合局部-全局原理的例子
IF 0.8
Research in Number Theory Pub Date : 2022-10-26 DOI: 10.1007/s40993-022-00406-w
Barinder S. Banwait
{"title":"Correction: Examples of abelian surfaces failing the local-global principle for isogenies","authors":"Barinder S. Banwait","doi":"10.1007/s40993-022-00406-w","DOIUrl":"https://doi.org/10.1007/s40993-022-00406-w","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"70 1","pages":"1-3"},"PeriodicalIF":0.8,"publicationDate":"2022-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90239827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Modular curves over number fields and ECM 数域上的模曲线与ECM
IF 0.8
Research in Number Theory Pub Date : 2022-10-25 DOI: 10.1007/s40993-022-00394-x
F. Morain
{"title":"Modular curves over number fields and ECM","authors":"F. Morain","doi":"10.1007/s40993-022-00394-x","DOIUrl":"https://doi.org/10.1007/s40993-022-00394-x","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"43 1","pages":"1-17"},"PeriodicalIF":0.8,"publicationDate":"2022-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87301159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The average behaviour of Hecke eigenvalues over certain sparse sequence of positive integers 正整数稀疏序列上Hecke特征值的平均行为
IF 0.8
Research in Number Theory Pub Date : 2022-10-22 DOI: 10.1007/s40993-022-00403-z
Guodong Hua
{"title":"The average behaviour of Hecke eigenvalues over certain sparse sequence of positive integers","authors":"Guodong Hua","doi":"10.1007/s40993-022-00403-z","DOIUrl":"https://doi.org/10.1007/s40993-022-00403-z","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"39 2 1","pages":"1-20"},"PeriodicalIF":0.8,"publicationDate":"2022-10-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82427378","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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