{"docId":173,"paperId":173,"url":"https:\/\/hrj.episciences.org\/173","doi":"10.46298\/hrj.2013.173","journalName":"Hardy-Ramanujan Journal","issn":"","eissn":"2804-7370","volume":[{"vid":45,"name":"Volume 34-35 - 2013"}],"section":[],"repositoryName":"Hal","repositoryIdentifier":"hal-01112583","repositoryVersion":1,"repositoryLink":"https:\/\/hal.archives-ouvertes.fr\/hal-01112583v1","dateSubmitted":"2015-03-03 16:14:04","dateAccepted":"2015-06-12 16:06:02","datePublished":"2013-01-01 08:00:00","titles":{"en":"The work of K. Ramachandra in algebraic number theory"},"authors":["Murty, M. Ram"],"abstracts":{"en":"We give a brief survey of three papers of K. Ramachandra in algebraic number theory. The first paper is based on his thesis and appeared in the Annals of Mathematics and titled, ``Some Applications of Kronecker's Limit Formula.'' The second paper determines a system of fundamental units for the cyclotomic field and is titled, ``On the units of cyclotomic fields.'' This appeared in Acta Arithmetica. The third deals with relative class numbers and is titled, ``The class number of relative abelian fields.'' This appeared in Crelle's Journal."},"keywords":[{"en":" relative class numbers of abelian fields"},{"en":" cyclotomic units"},{"en":"Kronecker's limit formula"},"[MATH] Mathematics [math]"]}