1 citations · 1 across the 3 of their papers we have counts for
6 papers
Solutions of diophantine equations as periodic points of -adic algebraic functions, III
Patrick Morton
All the periodic points of a certain algebraic function related to the Rogers-Ramanujan continued fraction are determined. They turn out to be …
The Hasse invariant of the Tate normal form and the class number of
Patrick Morton
It is shown that the number of irreducible quartic factors of the form which divide the Hasse invariant of the Tate normal form in character…
On the Hasse invariants of the Tate normal forms and
Patrick Morton
A formula is proved for the number of linear factors over of the Hasse invariant of the Tate normal form for a point of order , as a polynomial in the pa…
Solutions of diophantine equations as periodic points of -adic algebraic functions, II: The Rogers-Ramanujan continued fraction
Patrick Morton
In this part we show that the diophantine equation , where , has solutions in specific abelian extensions of qua…
Affine Maps and Feuerbach'sTheorem
Patrick Morton
We give an affine proof of Feuerbach's theorem, by constructing an explicit affine map which takes the nine-point circle of any given Euclidean triangle to the incircle and fixes t…
Real elliptic curves and cevian geometry
Igor Minevich, Patrick Morton
We study the elliptic curve , which we call the geometric normal form of an elliptic curve. We show that any elliptic curve whose -invariant…