{"title":"差分集乘子的纽曼结果的推广","authors":"R. McFarland","doi":"10.6028/JRES.069B.032","DOIUrl":null,"url":null,"abstract":"A theore m of M. Newman states that if v, k, A, are the parameters for a diffe rence se l D, and k-A = P or 2p (p a prime) then p is a multiplier of D. This theorem is genera li ze d 10 th e case of an abelian diffe rence set and several consequences are noted.","PeriodicalId":408709,"journal":{"name":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","volume":"95 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1965-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A generalization of a result of Newman on multipliers of difference sets\",\"authors\":\"R. McFarland\",\"doi\":\"10.6028/JRES.069B.032\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"A theore m of M. Newman states that if v, k, A, are the parameters for a diffe rence se l D, and k-A = P or 2p (p a prime) then p is a multiplier of D. This theorem is genera li ze d 10 th e case of an abelian diffe rence set and several consequences are noted.\",\"PeriodicalId\":408709,\"journal\":{\"name\":\"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics\",\"volume\":\"95 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1965-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.6028/JRES.069B.032\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Research of the National Bureau of Standards Section B Mathematics and Mathematical Physics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.6028/JRES.069B.032","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
纽曼的一个定理m指出,如果v, k, A是差分集D的参数,并且k-A = P或2p (P A '),则P是D的乘子。这个定理在阿贝尔差分集的情况下得到了推广,并指出了几个结果。
A generalization of a result of Newman on multipliers of difference sets
A theore m of M. Newman states that if v, k, A, are the parameters for a diffe rence se l D, and k-A = P or 2p (p a prime) then p is a multiplier of D. This theorem is genera li ze d 10 th e case of an abelian diffe rence set and several consequences are noted.