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

hrj:173 - Hardy-Ramanujan Journal, January 1, 2013, Volume 34-35 - 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
Published on: January 1, 2013
Submitted on: March 3, 2015
Keywords: relative class numbers of abelian fields, cyclotomic units,Kronecker's limit formula,[MATH] Mathematics [math]


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