Ramanujan JournalPub Date : 2023-03-06DOI: 10.1007/s11139-022-00697-8
R. Chow, F. Jarvis
{"title":"A p-adic study of the Richelot isogeny with applications to periods of certain genus 2 curves","authors":"R. Chow, F. Jarvis","doi":"10.1007/s11139-022-00697-8","DOIUrl":"https://doi.org/10.1007/s11139-022-00697-8","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"61 1","pages":"935 - 956"},"PeriodicalIF":0.7,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49288675","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ramanujan JournalPub Date : 2023-03-06DOI: 10.1007/s11139-023-00704-6
B. Ramakrishnan, B. Sahu, Anup Kumar Singh
{"title":"A simple extension of Ramanujan–Serre derivative map and some applications","authors":"B. Ramakrishnan, B. Sahu, Anup Kumar Singh","doi":"10.1007/s11139-023-00704-6","DOIUrl":"https://doi.org/10.1007/s11139-023-00704-6","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"61 1","pages":"1379-1410"},"PeriodicalIF":0.7,"publicationDate":"2023-03-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46312664","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ramanujan JournalPub Date : 2023-02-20DOI: 10.1007/s11139-022-00692-z
Renrong Mao, Ernest X. W. Xia
{"title":"A proof of Mao’s conjecture on an identity of Beck’s partition statistics","authors":"Renrong Mao, Ernest X. W. Xia","doi":"10.1007/s11139-022-00692-z","DOIUrl":"https://doi.org/10.1007/s11139-022-00692-z","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"62 1","pages":"633 - 648"},"PeriodicalIF":0.7,"publicationDate":"2023-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43174608","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fields of small class number in the family $$mathbb {Q}(sqrt{9m^2+4m})$$","authors":"Nimish Kumar Mahapatra, Prem Prakash Pandey, Mahesh Kumar Ram","doi":"10.1007/s11139-022-00695-w","DOIUrl":"https://doi.org/10.1007/s11139-022-00695-w","url":null,"abstract":"We study the class number one problem for real quadratic fields $mathbb{Q}(sqrt{9m^2+ 4m})$, where $m$ is an odd integer. We show that for $m equiv 1 pmod 3$ there is only one such field with class number one and only one such field with class number two.","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"26 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135440715","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Ramanujan JournalPub Date : 2023-01-30DOI: 10.1007/s11139-023-00698-1
Dongho Byeon
{"title":"Real quadratic fields with odd class number divisible by 3","authors":"Dongho Byeon","doi":"10.1007/s11139-023-00698-1","DOIUrl":"https://doi.org/10.1007/s11139-023-00698-1","url":null,"abstract":"","PeriodicalId":54511,"journal":{"name":"Ramanujan Journal","volume":"62 1","pages":"755 - 759"},"PeriodicalIF":0.7,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42614305","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}