Transcendence of Values of Class Group L-Functions

International audience 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.

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Kronecker’s solution of Pell’s equation for CM fields

Masri¹

2013

Ann. inst. Fourier

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Transcendence of Values of Class Group L-Functions

Cited by 3 publications

References 17 publications

Algebraic independence of values of Goss L -functions ats=1

Algebraic independence of values of Goss L -functions ats=1

The work of K. Ramachandra in algebraic number theory

Kronecker’s solution of Pell’s equation for CM fields

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