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Class Numbers of CM-Fields with Solvable Normal Closure

Published online by Cambridge University Press:  04 December 2007

V. Kumar Murty
V. Kumar Murty
Affiliation:
Department of Mathematics, University of Toronto, 100 St. George Street, Toronto, ON M5S 3G3, Canada
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Abstract

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Stark conjectured that given a positive integer h, there are only a finite number of CM-fields L with class number equal to h. We prove this conjecture for fields L of degree [ges ]6 whose normal closure is solvable.

Keywords

class numberCM fieldDedeking zeta functionSiegel zero
Type
Research Article
Information
Compositio Mathematica , Volume 127 , Issue 3 , July 2001 , pp. 273 - 288
Copyright
© 2001 Kluwer Academic Publishers