The work of K. Ramachandra in algebraic number theory

M. Ram Murty (1)

1 Department of mathematics

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.

Mots clés: relative class numbers of abelian fields; cyclotomic units; Kronecker's limit formula

Domaines: Mathématiques [math]

M. Ram Murty. The work of K. Ramachandra in algebraic number theory. Hardy-Ramanujan Journal, 2013, Volume 34-35 - 2013, pp.11 - 17. ⟨10.46298/hrj.2013.173⟩. ⟨hal-01112583⟩