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Patrick Morton - MaRDI portal

Patrick Morton

From MaRDI portal
Person:466151

Available identifiers

zbMath Open morton.patrickWikidataQ102156123 ScholiaQ102156123MaRDI QIDQ466151

List of research outcomes

PublicationDate of PublicationType
The Hasse invariant of the Tate normal form \(E_7\) and the supersingular polynomial for the Fricke group \(\Gamma_0^*(7)\)2024-01-29Paper
On Ramanujan's cubic continued fraction2023-11-11Paper
Supersingular conjectures for the Fricke group2023-03-09Paper
Periodic points of algebraic functions related to a continued fraction of Ramanujan2022-10-02Paper
Arithmetic properties of 3-cycles of quadratic maps over \(\mathbb{Q}\)2022-08-04Paper
Explicit congruences for the class equations $H_{-7p}(X)$ and $H_{-28p}(X)$2022-07-28Paper
Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. III2021-08-16Paper
The Hasse invariant of the Tate normal form \(E_5\) and the class number of \(\mathbb{Q}(\sqrt{-5l})\)2021-07-05Paper
Arithmetic properties of $3$-cycles of quadratic maps over $\mathbb{Q}$2021-05-16Paper
On the Hasse invariants of the Tate normal forms \(E_5\) and \(E_7\)2020-10-07Paper
Periodic points of algebraic functions and Deuring's class number formula2019-12-06Paper
Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. II: The Rogers-Ramanujan continued fraction2019-11-15Paper
Product formulas for the 5-division points on the Tate normal form and the Rogers-Ramanujan continued fraction2019-03-20Paper
Synthetic foundations of cevian geometry, IV: the TCC-perspector theorem2018-09-17Paper
Vertex positions of the generalized orthocenter and a related elliptic curve2018-02-23Paper
A cevian locus and the geometric construction of a special elliptic curve2018-01-18Paper
Affine Maps and Feuerbach'sTheorem2017-11-26Paper
Synthetic foundations of Cevian geometry. III: The generalized orthocenter2017-10-17Paper
Synthetic foundations of cevian geometry II: The center of the cevian conic2017-07-05Paper
Synthetic foundations of cevian geometry. I: Fixed points of affine maps2017-05-22Paper
Solutions of Diophantine equations as periodic points of \(p\)-adic algebraic functions. I.2016-08-11Paper
https://portal.mardi4nfdi.de/entity/Q28102862016-06-01Paper
Solutions of the cubic Fermat equation in ring class fields of imaginary quadratic fields (as periodic points of a 3-adic algebraic function)2016-05-13Paper
The quartic Fermat equation in Hilbert class fields of imaginary quadratic fields2015-09-11Paper
Explicit congruences for class equations2014-10-24Paper
Supersingular parameters of the Deuring normal form2014-09-26Paper
Genus theory and the factorization of class equations over $\mathbb{F}_p$2014-09-02Paper
A correction to Hasse's version of the Grunwald–Hasse–Wang theorem2011-11-14Paper
The cubic Fermat equation and complex multiplication on the Deuring normal form2011-06-17Paper
Corrigendum: ‘On certain algebraic curves related to polynomial maps, Compositio Math. 103 (1996), 319–350’2011-02-22Paper
Legendre polynomials and complex multiplication. I.2010-07-07Paper
Explicit identities for invariants of elliptic curves2008-02-21Paper
Class numbers of quadratic fields, Hasse invariants of elliptic curves, and the supersingular polynomial2004-08-04Paper
Arithmetic properties of periodic points of quadratic maps, II2004-02-08Paper
Galois groups of periodic points1999-05-31Paper
Periods of maps on irreducible polynomials over finite fields1999-03-29Paper
A Case Study in Mathematical Research: The Golay-Rudin-Shapiro Sequence1997-10-30Paper
https://portal.mardi4nfdi.de/entity/Q47157401997-02-01Paper
Bifurcations and discriminants for polynomial maps1995-12-17Paper
https://portal.mardi4nfdi.de/entity/Q46978331995-08-31Paper
Periodic points, multiplicities, and dynamical units.1995-04-20Paper
Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. II1995-04-02Paper
Characterizing cyclic cubic extensions by automorphism polynomials1994-12-11Paper
Algebraic dynamics of polynomial maps on the algebraic closure of a finite field. I1994-09-28Paper
The Galois Theory of Periodic Points of Polynomial Maps1994-04-12Paper
Arithmetic properties of periodic points of quadratic maps1993-02-10Paper
Pattern spectra, substring enumeration, and automatic sequences1992-09-26Paper
https://portal.mardi4nfdi.de/entity/Q39880891992-06-28Paper
Quasi-Symmetric 3-Designs and Elliptic Curves1992-06-25Paper
On the non-existence of abelian conditions governing solvability of the - 1 Pell equation.1990-01-01Paper
Musings on the Prime Divisors of Arithmetic Sequences1990-01-01Paper
Connections between binary patterns and paperfolding1990-01-01Paper
Governing fields for the 2-classgroup of $Q(sqrt{-q_{1}q_{2}p})$ and a related reciprocity law1990-01-01Paper
Paper Folding, Digit Patterns and Groups of Arithmetic Fractals1989-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47339091989-01-01Paper
Some varieties with points only in a field extension1984-01-01Paper
The quadratic number fields with cyclic 2-classgroups1983-01-01Paper
A new characterization of the integer 59061983-01-01Paper
Two-weight ternary codes and the equation \(y^2=4 \times 3^\alpha+13\)1983-01-01Paper
On sums of Rudin-Shapiro coefficients. II1983-01-01Paper
https://portal.mardi4nfdi.de/entity/Q33409511982-01-01Paper
The Integer Points on Three Related Elliptic Curves1982-01-01Paper
Density results for the 2-classgroups of imaginary quadratic fields.1982-01-01Paper
https://portal.mardi4nfdi.de/entity/Q39197881981-01-01Paper
https://portal.mardi4nfdi.de/entity/Q47499161981-01-01Paper
On the eigenvectors of Schur's matrix1980-01-01Paper
A Generalization of Zolotarev's Theorem1979-01-01Paper
On Rédei's theory of the Pell equation.1979-01-01Paper
Über Summen von Rudin-Shapiroschen Koeffizienten1978-01-01Paper
POLYNORMAL RELATIONS IN CHARACTERISTIC p1978-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41921541978-01-01Paper
https://portal.mardi4nfdi.de/entity/Q41019271976-01-01Paper

Research outcomes over time


Doctoral students

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