Titlebook: Cubic Fields with Geometry; Samuel A. Hambleton,Hugh C. Williams Book 2018 Springer Nature Switzerland AG 2018 binary cubic forms.cubic fi

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The , and Polish Partisan Warfare, 1939–43d relate these to the work of Godwin. We give a few algorithms for finding units of a cubic field of negative discriminant inspired by what we learn here. The main theme of this chapter is the applications of Diophantine approximation to problems associated with cubic fields.

EXPEL

Construction of All Cubic Fields of a Fixed Fundamental Discriminant (Renate Scheidler),n of Shanks’ method due toFung found generating polynomials of all 364 cubic fields with a 19-digit discriminant. This chapter presents the never before published Shanks-Fung algorithm and, for completeness, concludes with a brief summary ofBelabas’ fast technique for tabulating all cubic fields of bounded discriminant.

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