{"title":"剩余有限Dedekind域中的正则Tóth恒等式和menon型恒等式","authors":"Tianfang Qi","doi":"10.1007/s10998-023-00555-0","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we define the <i>s</i>-dimensional regular generalized Euler function and give a variant of Tóth’s identity in residually finite Dedekind domains, which can be viewed as a multidimensional version of the results by Wang, Zhang, Ji (2019) and Ji, Wang (2020).</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A regular Tóth identity and a Menon-type identity in residually finite Dedekind domains\",\"authors\":\"Tianfang Qi\",\"doi\":\"10.1007/s10998-023-00555-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we define the <i>s</i>-dimensional regular generalized Euler function and give a variant of Tóth’s identity in residually finite Dedekind domains, which can be viewed as a multidimensional version of the results by Wang, Zhang, Ji (2019) and Ji, Wang (2020).</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2023-11-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s10998-023-00555-0\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s10998-023-00555-0","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
A regular Tóth identity and a Menon-type identity in residually finite Dedekind domains
In this paper, we define the s-dimensional regular generalized Euler function and give a variant of Tóth’s identity in residually finite Dedekind domains, which can be viewed as a multidimensional version of the results by Wang, Zhang, Ji (2019) and Ji, Wang (2020).
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