Pub Date : 2022-10-12DOI: 10.1007/s40993-022-00385-y
D. McCarthy
{"title":"Eigenvalues and Fourier coefficients of degree two Siegel eigenforms constructed from Igusa theta constants","authors":"D. McCarthy","doi":"10.1007/s40993-022-00385-y","DOIUrl":"https://doi.org/10.1007/s40993-022-00385-y","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"34 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89250395","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}
Pub Date : 2022-10-10DOI: 10.1007/s40993-022-00384-z
Andrew Shallue, J. Webster
{"title":"Tabulating Carmichael numbers $$n = Pqr$$ with small P","authors":"Andrew Shallue, J. Webster","doi":"10.1007/s40993-022-00384-z","DOIUrl":"https://doi.org/10.1007/s40993-022-00384-z","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"6 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79887536","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}
Pub Date : 2022-10-07DOI: 10.1007/s40993-022-00390-1
Y. Kusunoki, Yayoi Nakamura
{"title":"An interpolation function of multiple harmonic sum","authors":"Y. Kusunoki, Yayoi Nakamura","doi":"10.1007/s40993-022-00390-1","DOIUrl":"https://doi.org/10.1007/s40993-022-00390-1","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"68 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90399357","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}
Pub Date : 2022-10-06DOI: 10.1007/s40993-022-00396-9
Pascal Molin, Aurel Page
{"title":"Computing groups of Hecke characters","authors":"Pascal Molin, Aurel Page","doi":"10.1007/s40993-022-00396-9","DOIUrl":"https://doi.org/10.1007/s40993-022-00396-9","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"48 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-10-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73489215","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}
Pub Date : 2022-10-03DOI: 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":"43 1","pages":"1-18"},"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}
Pub Date : 2022-10-01DOI: 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":"67 1","pages":""},"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}
Pub Date : 2022-09-15DOI: 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":"25 1","pages":""},"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}
Pub Date : 2022-09-13DOI: 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":"64 1","pages":""},"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}
Pub Date : 2022-09-01DOI: 10.1007/s40993-022-00363-4
H. Murahara, Tomokazu Onozuka
{"title":"Cyclic relation for multiple zeta functions","authors":"H. Murahara, Tomokazu Onozuka","doi":"10.1007/s40993-022-00363-4","DOIUrl":"https://doi.org/10.1007/s40993-022-00363-4","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":"35 1","pages":""},"PeriodicalIF":0.8,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73559186","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}
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