Home Page for John Robertson
Links to my Pell equation and binary quadratic equation pages
Solving the
generalized Pell equation - PDF File
Solving the
equation ax^2 + bxy + cy^2 + dx + ey + f = 0 - PDF File
Matthews'
method for ax^2 + bxy + cy^2 = N - PDF File
Computing in
Quadratic Orders - PDF File
Linear
Recurrences for Pell Equations - PDF File
A Fast
Algorithm for Computing the Regulator of an Order of a Real Quadratic Field-PDF File
Ambiguous Forms and Ideals in Quadratic Orders
Using Shanks' Baby-Step Giant-Step Method to Solve the Generalized Pell Equation x^2 - Dy^2 = N
Best Approximations to sqrt(D)
Keith Matthews pages related to Pell equations
Solving
generalized Pell equations
Solving
binary quadratic form equations
Certain
Pell equations
CALC -
system for number theory (includes ``patz'' for Pell equations and
``binform'' for BQF equations)
BC programs
(includes Thue)
Talk given at 2009 Joint Mathematics Meetings
Nearest Square Continued Fractions, and Related Topics (talk) (talk with notes)
Other continued fraction and Pell equation pages
H. W.
Lenstra Jr on solving Pell equations
Record-holder
solutions of Pell equations
Continued fractions pages at Number Theory Web
Generalized
Pell equation pages at Number Theory Web
Continued
fraction page at World of Mathematics
Pell
equation page at World of Mathematics
MacTutor page on Pell equation
Mathematical Excalibur
- see 6-3 and 7-1 for Pell equation
The continued fraction expansions of sqrt(D) and (1+sqrt(D))/2
Question on
subject cf expansions - text file
Proof
that L4=3, L1=7 is not possible - PDF File
Comments on other papers
Podsypanin's paper on the length of the period of a quadratic irrational
Answers to
Shirali's questions on sums of quadratic residues
Magic squares
Magic squares of squares
No 3x3 binary palindrome magic squares
Some comments on 4x4 magic squares
Searching for 4x4 magic squares
Christian Boyer's magic squares page
Other pages of interest
Number Theory Web
Keith Matthews home
page
Richard Mollin
home page
Robin Chapman
home page
James Mc Laughlin
home page
Mathematical Association of America
American Mathematical Society
American Mathematics
Competitions
Mathematical Sciences Research
Institute (MSRI)
Clay
Mathematics Institute prize problems
Dave Rusin's
mathematical atlas
Kevin Brown's
essays on number theory
World
of Mathematics Number Theory page
Sailing Links
Links to sailing sitesInformation
John P. Robertson
jpr2718@gmail.com
I live in South Florida and work as an actuary.
My interests include mathematics, especially curves of genus zero (Pell's
equations and related topics), movies, and small boat sailing.
Last Modified January 17, 2009