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Algebraic Number Theory And Simplest Cubic Fields, Jianing Yang
Algebraic Number Theory And Simplest Cubic Fields, Jianing Yang
Honors Theses
The motivation behind this paper lies in understanding the meaning of integrality in general number fields. I present some important definitions and results in algebraic number theory, as well as theorems and their proofs on cyclic cubic fields. In particular, I discuss my understanding of Daniel Shanks' paper on the simplest cubic fields and their class numbers.