{"title":"由包含除数的类二项式公式产生的恒等式","authors":"K. Gryszka","doi":"10.2478/amsil-2023-0013","DOIUrl":null,"url":null,"abstract":"Abstract In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.","PeriodicalId":52359,"journal":{"name":"Annales Mathematicae Silesianae","volume":" ","pages":""},"PeriodicalIF":0.4000,"publicationDate":"2023-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers\",\"authors\":\"K. Gryszka\",\"doi\":\"10.2478/amsil-2023-0013\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.\",\"PeriodicalId\":52359,\"journal\":{\"name\":\"Annales Mathematicae Silesianae\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2023-07-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annales Mathematicae Silesianae\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2478/amsil-2023-0013\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annales Mathematicae Silesianae","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2478/amsil-2023-0013","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
Identities Arising from Binomial-Like Formulas Involving Divisors of Numbers
Abstract In this article, we derive a great number of identities involving the ω function counting distinct prime divisors of a given number n. These identities also include Pochhammer symbols, Fibonacci and Lucas numbers and many more.