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

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)

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 DVI File LaTeX 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

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

Information

John P. Robertson
JPR2718@AOL.COM

I live in southern Florida and work as an actuary.

My interests incude mathematics, especially curves of genus zero (Pell's equations and related topics), movies, and small boat sailing.

Last Modified April 27, 2007

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