{"title":"ON THE DEFORMATION OF THE TWO DIMENSIONAL ASSOCIATIVE ALGEBRAS","authors":"M. Gerstenhaber, F. Kubo","doi":"10.17654/0972555522012","DOIUrl":"https://doi.org/10.17654/0972555522012","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"1 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90192937","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}
{"title":"AN ANALOGUE OF THE ROBIN INEQUALITY OF THE SECOND TYPE FOR ODD INTEGERS","authors":"Yoshihiro Koya","doi":"10.17654/0972555522023","DOIUrl":"https://doi.org/10.17654/0972555522023","url":null,"abstract":"In this paper we give a variant of the Robin inequality which states that f (=) = ≤ 4 W 2 log log = + 0.7399· · · log log = for any odd integer = ≥ 3.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"51 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90795776","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}
{"title":"KEY MATRICES IN FULLY HOMOMORPHIC ENCRYPTION","authors":"Hakim Habri, A. Chillali, A. Boua","doi":"10.17654/0972555522014","DOIUrl":"https://doi.org/10.17654/0972555522014","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"5 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85067115","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}
{"title":"LATTICE POINTS IN VECTOR-DILATED ALGEBRAIC POLYTOPES","authors":"Yashaswika Gaur, T. Wong","doi":"10.17654/0972555522010","DOIUrl":"https://doi.org/10.17654/0972555522010","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"24 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-02-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75276824","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}
{"title":"FÂ AND GEOMETRIC TRANSFORMATIONS","authors":"EDARH-BOSSOU Toyo Koffi, Akona Tcha, d’ALMEIDA Zokpé Zoki","doi":"10.17654/0972555522007","DOIUrl":"https://doi.org/10.17654/0972555522007","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"76 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73731416","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}
{"title":"SOME METHODS TO DESIGN INTERLEAVED SEQUENCES OVER","authors":"Chérif Bachir Deme, Mame Abdou Diaw, Oumar Fall, Alhousseynou Ba, O. Diankha","doi":"10.17654/0972555522005","DOIUrl":"https://doi.org/10.17654/0972555522005","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"17 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86747089","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}
F. Hörmann, Antonella Perucca, Pietro Sgobba, S. Tronto
A BSTRACT . If p is a prime number congruent to 1 modulo 3 , then we explicitly describe an element of the cyclotomic field Q ( ζ 3 ) whose third root generates the cubic subextension of Q ( ζ 3 p ) / Q ( ζ 3 ) . Similarly, if p is a prime number congruent to 1 modulo 4 , then we explicitly describe an element of the cyclotomic field Q ( ζ 4 ) whose fourth root generates the quartic cyclic subextension of Q ( ζ 4 p ) / Q ( ζ 4 ) . For further number fields we express generators of Kummer extensions inside cyclotomic fields in terms of Gauss sums.
{"title":"EXPLICIT KUMMER GENERATORS FOR CYCLOTOMIC EXTENSIONS","authors":"F. Hörmann, Antonella Perucca, Pietro Sgobba, S. Tronto","doi":"10.17654/0972555522004","DOIUrl":"https://doi.org/10.17654/0972555522004","url":null,"abstract":"A BSTRACT . If p is a prime number congruent to 1 modulo 3 , then we explicitly describe an element of the cyclotomic field Q ( ζ 3 ) whose third root generates the cubic subextension of Q ( ζ 3 p ) / Q ( ζ 3 ) . Similarly, if p is a prime number congruent to 1 modulo 4 , then we explicitly describe an element of the cyclotomic field Q ( ζ 4 ) whose fourth root generates the quartic cyclic subextension of Q ( ζ 4 p ) / Q ( ζ 4 ) . For further number fields we express generators of Kummer extensions inside cyclotomic fields in terms of Gauss sums.","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"16 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73007176","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}
{"title":"CERTAIN INVARIANT MULTIPLICATIVE SUBSET OF A SIMPLE ARTINIAN RING WITH INVOLUTION","authors":"M. Chacron","doi":"10.17654/0972555522009","DOIUrl":"https://doi.org/10.17654/0972555522009","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"21 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81695652","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}
{"title":"REMARKS ON THE ALGORITHMS OF CORNACCHIA AND HERMITE-SERRET","authors":"J. Deutsch","doi":"10.17654/0972555522008","DOIUrl":"https://doi.org/10.17654/0972555522008","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"4 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88828788","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}
{"title":"THE NUMBER OF SUBSETS OF THE SET CONTAINING NO TWO CONSECUTIVE EVEN INTEGERS","authors":"K. Uslu, B. Arslan","doi":"10.17654/nt052020243","DOIUrl":"https://doi.org/10.17654/nt052020243","url":null,"abstract":"","PeriodicalId":43248,"journal":{"name":"JP Journal of Algebra Number Theory and Applications","volume":"27 1","pages":""},"PeriodicalIF":0.1,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90114129","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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