ABSTRACT
A central theme in Galois module theory is the dominance of analytic functions over class invariants. Let N/K be a finite extension of number fields with the Galois group isomorphic to a finite group Γ. We use the standard notation and denote by https://www.w3.org/1998/Math/MathML"> O F https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747022/abb99e87-ffb7-4196-a4c4-acb0033e3d6a/content/eq2616.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> the ring of algebraic integers of a number field F. We are concerned with the problem of obtaining an explicit description of https://www.w3.org/1998/Math/MathML"> O N https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747022/abb99e87-ffb7-4196-a4c4-acb0033e3d6a/content/eq2617.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> as a module over either https://www.w3.org/1998/Math/MathML"> O K [ Γ ] https://s3-euw1-ap-pe-df-pch-content-public-p.s3.eu-west-1.amazonaws.com/9780138747022/abb99e87-ffb7-4196-a4c4-acb0033e3d6a/content/eq2618.tif" xmlns:xlink="https://www.w3.org/1999/xlink"/> or Z[Γ].
