Pub Date : 2024-07-17DOI: 10.1007/s40993-024-00556-z
Garen Chiloyan
{"title":"Curious subgroups of $${text {GL}}(2, {mathbb {Z}}/ N {mathbb {Z}})$$ as direct products of groups of distinct prime-power level","authors":"Garen Chiloyan","doi":"10.1007/s40993-024-00556-z","DOIUrl":"https://doi.org/10.1007/s40993-024-00556-z","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2024-07-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141830469","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 : 2024-06-04DOI: 10.1007/s40993-024-00544-3
Peng Gao, Liangyi Zhao
{"title":"Ratios conjecture for quadratic twists of modular L-functions","authors":"Peng Gao, Liangyi Zhao","doi":"10.1007/s40993-024-00544-3","DOIUrl":"https://doi.org/10.1007/s40993-024-00544-3","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141387924","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 : 2024-05-15DOI: 10.1007/s40993-024-00538-1
Abhik Ganguli, Suneel Kumar
{"title":"On the local constancy of certain mod p Galois representations","authors":"Abhik Ganguli, Suneel Kumar","doi":"10.1007/s40993-024-00538-1","DOIUrl":"https://doi.org/10.1007/s40993-024-00538-1","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140974638","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 : 2024-05-04DOI: 10.1007/s40993-024-00536-3
B. Ammous, N. Ben Mahmoud
{"title":"On the quasi-periodic Schneider continued fractions","authors":"B. Ammous, N. Ben Mahmoud","doi":"10.1007/s40993-024-00536-3","DOIUrl":"https://doi.org/10.1007/s40993-024-00536-3","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-05-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141013523","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 : 2024-04-17DOI: 10.1007/s40993-024-00531-8
A. Abdesselam, Pedro Brunialti, Tristan Doan, Philip Velie
{"title":"A bijection for tuples of commuting permutations and a log-concavity conjecture","authors":"A. Abdesselam, Pedro Brunialti, Tristan Doan, Philip Velie","doi":"10.1007/s40993-024-00531-8","DOIUrl":"https://doi.org/10.1007/s40993-024-00531-8","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140691839","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 : 2024-04-14DOI: 10.1007/s40993-024-00530-9
Mihai Cipu, Y. Fujita, Maurice Mignotte
{"title":"Diophantine triples with three parameters","authors":"Mihai Cipu, Y. Fujita, Maurice Mignotte","doi":"10.1007/s40993-024-00530-9","DOIUrl":"https://doi.org/10.1007/s40993-024-00530-9","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140705308","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 : 2024-04-13DOI: 10.1007/s40993-024-00529-2
Henry H. Kim
{"title":"Vertical Atkin-Serre conjecture and extremal primes in a family of L-functions","authors":"Henry H. Kim","doi":"10.1007/s40993-024-00529-2","DOIUrl":"https://doi.org/10.1007/s40993-024-00529-2","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140708291","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 : 2024-04-08DOI: 10.1007/s40993-024-00525-6
M. Derickx, Petar Orlić
{"title":"Modular curves $$X_0(N)$$ with infinitely many quartic points","authors":"M. Derickx, Petar Orlić","doi":"10.1007/s40993-024-00525-6","DOIUrl":"https://doi.org/10.1007/s40993-024-00525-6","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140730358","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 : 2024-04-02DOI: 10.1007/s40993-024-00523-8
C. G. Karthick Babu, Anirban Mukhopadhyay, Sehra Sahu
{"title":"On the explicit Galois group of $$mathbb {Q}(sqrt{a_{1}}, sqrt{a_{2}}, dots , sqrt{a_{n}}, zeta _{d})$$ over $$mathbb {Q}$$","authors":"C. G. Karthick Babu, Anirban Mukhopadhyay, Sehra Sahu","doi":"10.1007/s40993-024-00523-8","DOIUrl":"https://doi.org/10.1007/s40993-024-00523-8","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140751783","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 : 2024-03-25DOI: 10.1007/s40993-024-00522-9
L. Fukshansky, Pavel Guerzhoy, Tanis Nielsen
{"title":"Deep hole lattices and isogenies of elliptic curves","authors":"L. Fukshansky, Pavel Guerzhoy, Tanis Nielsen","doi":"10.1007/s40993-024-00522-9","DOIUrl":"https://doi.org/10.1007/s40993-024-00522-9","url":null,"abstract":"","PeriodicalId":43826,"journal":{"name":"Research in Number Theory","volume":null,"pages":null},"PeriodicalIF":0.8,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140383682","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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