20 Publications
2020
Solutions of diophantine equations as periodic points of $p$-adic algebraic functions, III
Morton, Patrick
May 20, 2020. | Journal Article
2019
Periodic points of algebraic functions and Deuring’s class number formula
Morton, Patrick
The Ramanujan journal, vol. 50, (no. 2), pp. 323-354, Nov 2019. | Journal Article
 
Product formulas for the 5-division points on the Tate normal form and the Rogers–Ramanujan continued fraction
Morton, Patrick
Journal of number theory, vol. 200, pp. 380-396, Jul 2019. | Journal Article
2018
Solutions of diophantine equations as periodic points of $p$-adic algebraic functions, II: The Rogers-Ramanujan continued fraction
Morton, Patrick
Jun 28, 2018. | Journal Article
2017
Synthetic foundations of cevian geometry, I: fixed points of affine maps
Minevich, Igor and Morton, Patrick
Journal of geometry, vol. 108, (no. 1), pp. 45-60, Apr 2017. | Journal Article
 
Synthetic foundations of cevian geometry, III: the generalized orthocenter
Minevich, Igor and Morton, Patrick
Journal of geometry, vol. 108, (no. 2), pp. 437-455, Jul 2017. | Journal Article
2016
Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)
Morton, Patrick
International journal of number theory, vol. 12, (no. 4), pp. 853-902, Jun 2016. | Journal Article
 
Vertex positions of the generalized orthocenter and a related elliptic curve
Minevich, Igor and Morton, Patrick
Aug 15, 2016. | Journal Article
2015
Synthetic foundations of cevian geometry II: The center of the cevian conic
Minevich, Igor and Morton, Patrick
May 18, 2015. | Journal Article
 
The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields
Lynch, Rodney and Morton, Patrick
International journal of number theory, vol. 11, (no. 6), pp. 1961-2017, Sep 2015. | Journal Article
2004
Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial
Brillhart, John and Morton, Patrick
Journal of number theory, vol. 106, (no. 1), pp. 79-111, 2004. | Journal Article
1996
A case study in mathematical research: The Golay-Rudin-Shapiro sequence
Brillhart, John and Morton, Richard P
The American Mathematical Monthly, vol. 103, (no. 10), pp. 854-869, Dec 1996. | Journal Article
1994
Rational periodic points of rational functions
Morton, Patrick and Silverman, Joseph H
International Mathematics Research Notices, vol. 1994, (no. 2), pp. 97-110, 1994. | Journal Article
1992
Books
Morton, Richard⋅Alderman, Nigel and Hansell, Peter
Journal of Visual Communication in Medicine, vol. 15, (no. 3), pp. 97, 19920000. | Journal Article
1990
Musings on the Prime Divisors of Arithmetic Sequences
Morton, Richard P
The American Mathematical Monthly, vol. 97, (no. 4), pp. 323, Apr 1990. | Journal Article
 
Quasi-symmetric 3-designs and elliptic curves.
Calderbank, A. R and Morton, Patrick
SIAM J. DISCRETE MATH., vol. 3, (no. 2), pp. 178-196, 1990. | Journal Article
1983
On sums of Rudin-Shapiro coefficients. II
Brillhart, John⋅Erdős, Paul and Morton, Richard
Pacific Journal of Mathematics, vol. 107, (no. 1), pp. 69, 1983-07-01. | Journal Article
 
The quadratic number fields with cyclic 2-classgroups
Morton, Richard
Pacific Journal of Mathematics, vol. 108, (no. 1), pp. 175, 1983-09-01. | Journal Article
1982
Integer points on three related elliptic curves.
Bremner, A. and Morton, Patrick
MATH. COMPUT., vol. 39, (no. 159), pp. 235-238, 1982. | Journal Article
1979
THE 2-CLASSGROUP OF A QUADRATIC NUMBER FIELD AND THE PELL EQUATION X SQUARE - DELTA Y SQUARE = -1 (Dissertation)
Morton, Richard P (1979).