Yasaki, Dan

uncg

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Enumeration of quadratic forms over totally real fields 2012 1958 Let F be a real quadratic field with OF its ring of integers. Let f be a quadratic form over F with discriminant D. Using Koecher Theory and the generalized Voronoï Algorithm, we show that there are finitely many quadratic forms with discriminant D o...
A geometric generalization of continued fractions for imaginary quadratic fields 2021 118 The Euclidean Algorithm for the integers is well known and yields a finite continued fraction expansion for each rational number. Geometrically, successive convergents in this expansion correspond to endpoints of edges in the Farey tessellation of th...