{"title":"有一个零和两个不同的正整数根的三次多项式的倒数级数的和","authors":"Radovan Potucek","doi":"10.15414/meraa.2022.08.01.33-43","DOIUrl":null,"url":null,"abstract":"This contribution is a follow-up to five preceding author’s papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots. We derive the formula for the sum of these series and verify it by some examples using the basic programming language of the computer algebra system Maple 2020","PeriodicalId":356304,"journal":{"name":"Mathematics in Education, Research and Applications","volume":"165 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2022-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots\",\"authors\":\"Radovan Potucek\",\"doi\":\"10.15414/meraa.2022.08.01.33-43\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This contribution is a follow-up to five preceding author’s papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots. We derive the formula for the sum of these series and verify it by some examples using the basic programming language of the computer algebra system Maple 2020\",\"PeriodicalId\":356304,\"journal\":{\"name\":\"Mathematics in Education, Research and Applications\",\"volume\":\"165 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2022-12-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematics in Education, Research and Applications\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.15414/meraa.2022.08.01.33-43\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics in Education, Research and Applications","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.15414/meraa.2022.08.01.33-43","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
The sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots
This contribution is a follow-up to five preceding author’s papers and deals with the sum of the series of reciprocals of the cubic polynomials with one zero and two different positive integer roots. We derive the formula for the sum of these series and verify it by some examples using the basic programming language of the computer algebra system Maple 2020