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math.NT2012
Inverse problem for Pell equation and real quadratic fields of the least type
Jeongho Park
The purpose of this article is to give the solutions of the inverse problem for Pellian equations. For any rational number , the fundamental discriminants satisfyin…
math.NT2012
Notes on the Quadratic Integers and Real Quadratic Number Fields
Jeongho Park
It is shown that when a real quadratic integer of fixed norm is considered, the fundamental unit of the field satisfi…
math.NT2012
On the Regulators of Real Quadratic Number Fields
Jeongho Park
This paper deals with the quadratic integers of small norms and asserts that in some sense R >> (log D)^2 is true for almost all real quadratic number fields. (A few errata is corr…