## M. Ram Murty - The work of K. Ramachandra in algebraic number theory

hrj:173 - Hardy-Ramanujan Journal, January 1, 2013, Volume 34-35 - 2013 - https://doi.org/10.46298/hrj.2013.173
The work of K. Ramachandra in algebraic number theory

Authors: M. Ram Murty

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.

Volume: Volume 34-35 - 2013
Published on: January 1, 2013
Imported on: March 3, 2015
Keywords: relative class numbers of abelian fields, cyclotomic units,Kronecker's limit formula,[MATH] Mathematics [math]