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Research in Number Theory最新文献

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Tabulating Carmichael numbers $$n = Pqr$$ with small P 表卡迈克尔数$$n = Pqr$$与小P
IF 0.8
Research in Number Theory Pub Date : 2022-10-10 DOI: 10.1007/s40993-022-00384-z
Andrew Shallue, J. Webster
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引用次数: 1
An interpolation function of multiple harmonic sum 一个多重调和和的插值函数
IF 0.8
Research in Number Theory Pub Date : 2022-10-07 DOI: 10.1007/s40993-022-00390-1
Y. Kusunoki, Yayoi Nakamura
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引用次数: 1
Computing groups of Hecke characters 赫克字符的计算组
IF 0.8
Research in Number Theory Pub Date : 2022-10-06 DOI: 10.1007/s40993-022-00396-9
Pascal Molin, Aurel Page
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引用次数: 2
On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves 有向椭圆曲线上类群作用的决策Diffie-Hellman问题
IF 0.8
Research in Number Theory Pub Date : 2022-10-03 DOI: 10.1007/s40993-022-00399-6
W. Castryck, M. Houben, F. Vercauteren, B. Wesolowski
{"title":"On the decisional Diffie–Hellman problem for class group actions on oriented elliptic curves","authors":"W. Castryck, M. Houben, F. Vercauteren, B. Wesolowski","doi":"10.1007/s40993-022-00399-6","DOIUrl":"https://doi.org/10.1007/s40993-022-00399-6","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90759916","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: 7
On the 2-part of the class number of $${mathbb {Q}}(sqrt{pm D})$$ for a congruent number D 关于同余数D的类数$${mathbb {Q}}(sqrt{pm D})$$的2部分
IF 0.8
Research in Number Theory Pub Date : 2022-10-01 DOI: 10.1007/s40993-022-00382-1
Shamik Das, A. Saikia
{"title":"On the 2-part of the class number of $${mathbb {Q}}(sqrt{pm D})$$ for a congruent number D","authors":"Shamik Das, A. Saikia","doi":"10.1007/s40993-022-00382-1","DOIUrl":"https://doi.org/10.1007/s40993-022-00382-1","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79380775","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
On the typical rank of elliptic curves over Q(T)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {Q}}(T)$$end 椭圆曲线在Q(T)上的典型秩documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amssyb} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {Q}}(T)$$end
IF 0.8
Research in Number Theory Pub Date : 2022-09-15 DOI: 10.1007/s40993-022-00377-y
Francesco Battistoni, S. Bettin, C. Delaunay
{"title":"On the typical rank of elliptic curves over Q(T)documentclass[12pt]{minimal} usepackage{amsmath} usepackage{wasysym} usepackage{amsfonts} usepackage{amssymb} usepackage{amsbsy} usepackage{mathrsfs} usepackage{upgreek} setlength{oddsidemargin}{-69pt} begin{document}$${mathbb {Q}}(T)$$end","authors":"Francesco Battistoni, S. Bettin, C. Delaunay","doi":"10.1007/s40993-022-00377-y","DOIUrl":"https://doi.org/10.1007/s40993-022-00377-y","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73042657","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
Transcendence of infinite products involving Fibonacci and Lucas numbers 涉及斐波那契数和卢卡斯数的无穷积的超越
IF 0.8
Research in Number Theory Pub Date : 2022-09-13 DOI: 10.1007/s40993-022-00366-1
D. Duverney, T. Kurosawa
{"title":"Transcendence of infinite products involving Fibonacci and Lucas numbers","authors":"D. Duverney, T. Kurosawa","doi":"10.1007/s40993-022-00366-1","DOIUrl":"https://doi.org/10.1007/s40993-022-00366-1","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79511093","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
Explicit non-Gorenstein $$R={mathbb {T}}$$ R = T via rank bounds II: Computational aspects 显式非gorenstein $$R={mathbb {T}}$$ R = T通过秩界II:计算方面
IF 0.8
Research in Number Theory Pub Date : 2022-09-01 DOI: 10.1007/s40993-022-00401-1
Catherine Hsu, Preston Wake, Carl Wang-Erickson
{"title":"Explicit non-Gorenstein \u0000 \u0000 \u0000 \u0000 $$R={mathbb {T}}$$\u0000 \u0000 \u0000 R\u0000 =\u0000 T\u0000 \u0000 \u0000 via rank bounds II: Computational aspects","authors":"Catherine Hsu, Preston Wake, Carl Wang-Erickson","doi":"10.1007/s40993-022-00401-1","DOIUrl":"https://doi.org/10.1007/s40993-022-00401-1","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76967622","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
Cyclic relation for multiple zeta functions 多个函数的循环关系
IF 0.8
Research in Number Theory Pub Date : 2022-09-01 DOI: 10.1007/s40993-022-00363-4
H. Murahara, Tomokazu Onozuka
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引用次数: 0
On binary quartics and the Cassels–Tate pairing 二元四分位和Cassels-Tate配对
IF 0.8
Research in Number Theory Pub Date : 2022-08-31 DOI: 10.1007/s40993-022-00376-z
T. Fisher
{"title":"On binary quartics and the Cassels–Tate pairing","authors":"T. Fisher","doi":"10.1007/s40993-022-00376-z","DOIUrl":"https://doi.org/10.1007/s40993-022-00376-z","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83354666","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: 5
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