5 citations · 33 across the 26 of their papers we have counts for
4 papers · 2 filters
The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields
Rodney Lynch, Patrick Morton
It is shown that the quartic Fermat equation has nontrivial integral solutions in the Hilbert class field of any quadratic field whose di…
Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)
Patrick Morton
Explicit solutions of the cubic Fermat equation are constructed in ring class fields , with conductor prime to , of any imaginary quadratic field whose discriminant…
Solutions of diophantine equations as periodic points of -adic algebraic functions, I
Patrick Morton
Solutions of the quartic Fermat equation in ring class fields of odd conductor over quadratic fields with (mod ) are shown to be periodic…
Genus theory and the factorization of class equations over
Patrick Morton
A new proof, depending only on genus theory, is given of a theorem of Stankewicz, which characterizes the primes for which the class equation of the maximal order of t…