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Hasse’s problem for monogenic fields

Toru Nakahara — 2009

Annales mathématiques Blaise Pascal

In this article we shall give a survey of Hasse’s problem for integral power bases of algebraic number fields during the last half of century. Specifically, we developed this problem for the abelian number fields and we shall show several substantial examples for our main theorem [] [], which will indicate the actual method to generalize for the forthcoming theme on Hasse’s problem [].

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