eng
episciences.org
Hardy-Ramanujan Journal
2804-7370
2013-01-01
Volume 34-35 - 2013
10.46298/hrj.2013.173
173
journal article
The work of K. Ramachandra in algebraic number theory
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.
https://hrj.episciences.org/173/pdf
relative class numbers of abelian fields
cyclotomic units
Kronecker's limit formula
[MATH] Mathematics [math]