{"title":"对郭和唐的一些猜想的证明","authors":"Guoping Gu, Xiaoxia Wang","doi":"10.1515/forum-2024-0101","DOIUrl":null,"url":null,"abstract":"\n Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation.\nIn this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again,\nwe provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"65 40","pages":""},"PeriodicalIF":16.4000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Proof of some conjectures of Guo and of Tang\",\"authors\":\"Guoping Gu, Xiaoxia Wang\",\"doi\":\"10.1515/forum-2024-0101\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"\\n Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation.\\nIn this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again,\\nwe provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.\",\"PeriodicalId\":1,\"journal\":{\"name\":\"Accounts of Chemical Research\",\"volume\":\"65 40\",\"pages\":\"\"},\"PeriodicalIF\":16.4000,\"publicationDate\":\"2024-05-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Accounts of Chemical Research\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1515/forum-2024-0101\",\"RegionNum\":1,\"RegionCategory\":\"化学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"CHEMISTRY, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/forum-2024-0101","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
Recently, Guo and Tang independently established some q-supercongruences from Rahman’s quadratic transformation.
In this paper, by applying the method of creative microscoping devised by Guo and Zudilin together with Rahman’s quadratic transformation again,
we provide proofs for eight conjectures on q-supercongruences proposed by Guo and by Tang.
期刊介绍:
Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance.
Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.