{"title":"一些新的卢卡斯序列版本的Wolstenholme的同余","authors":"Yanteng Lu , Peng Yang , Tianxin Cai","doi":"10.1016/j.bulsci.2025.103619","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we extend the results of He, Mao, and Togbé, as well as Yang and Yang, and give some Lucas sequence versions generalizations of Wolstenholme's theorem with multiple harmonic sums.</div></div>","PeriodicalId":55313,"journal":{"name":"Bulletin des Sciences Mathematiques","volume":"202 ","pages":"Article 103619"},"PeriodicalIF":1.3000,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Some new Lucas sequence versions of Wolstenholme's congruence\",\"authors\":\"Yanteng Lu , Peng Yang , Tianxin Cai\",\"doi\":\"10.1016/j.bulsci.2025.103619\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we extend the results of He, Mao, and Togbé, as well as Yang and Yang, and give some Lucas sequence versions generalizations of Wolstenholme's theorem with multiple harmonic sums.</div></div>\",\"PeriodicalId\":55313,\"journal\":{\"name\":\"Bulletin des Sciences Mathematiques\",\"volume\":\"202 \",\"pages\":\"Article 103619\"},\"PeriodicalIF\":1.3000,\"publicationDate\":\"2025-03-19\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Bulletin des Sciences Mathematiques\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0007449725000454\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Bulletin des Sciences Mathematiques","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0007449725000454","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
Some new Lucas sequence versions of Wolstenholme's congruence
In this paper, we extend the results of He, Mao, and Togbé, as well as Yang and Yang, and give some Lucas sequence versions generalizations of Wolstenholme's theorem with multiple harmonic sums.