Euler-Rabiniowitsch polynomials and class number problems revisited (2011)
Solving Diophantine equations via Lucas-Lehmer theory (2010)
Proof of the Mollin-Srinivasan conjecture and other class number problems-- to appear
Ideal class goroups and generalized Euler-Rabinowitsch polynomials (2010)
A note on the negative Pell equation (2010)
Central norms: Applications to Pell's equation (2010) to appear FJMS-- proofs here:
An overview of sieve methods (2010)
How to Prove Fermat's Last Theorem (2009)
Characterization of D=P^2+Q^2 when gcd(P,Q))=1 and x^2-Dy^2=-1 has no integer solutions (2009)
Class number two for real quadratic fields of Richaud-Degert type (2009)
The Rabinowitsch-Mollin_williams Theorem Revisited (2009)
Cryptography and Shift Registers (2009)
The Number of Bounded Solutions... (2008)
General Criteria for Determination of Class Groups of Real Quadratic Orders (2008)
Class numbers of real quadratic orders, generalized Fermat numbers, and exponential Diophantine equations (2007)
On a Generalized Kaplansky Conjecture (2007)
Diophantine Equations and Congruences (2007)
Global Versus Local Solvability of Quadratic Diophantine Equations (2006)
Quadratic Diophantine Equations x^2-Dy^2=c^2 (2006)
A Note on the Diophantine Equation D_1x^2+D_2=ak^n (2005)
Lagrange, Central Norms, and Quadratic Diophantine Equations (2005)
Norm Form Equations and Continued Fractions (2005)
Generalized Lagrange Criteria for Certain Quadratic Diophantine Equations (2005)
Eisenstein equations and central norms: appeared in C.R. Math. Acad. Sci. R. Can., Volume 27, (2005), 20-24;
On an elementary approach to the Lebesque-Nagell equation: appeared in Int. J. Number Theory, Volume 1, (2005), 553--561;
Necessary and Sufficient Conditions for the Central Norm to Equal 2^h in the Simple Continued Fraction Expansion of (2^h)^(1/2) for Any Odd c>1: appeared in Canad. Math. Bulletin, Volume 48, (2005), 121--132;
Class groups and quadratic diophantine equations: appeared in JP J. Algebra, Number Theory App., Volume 5, (2005), 331-347;
A Continued Fraction Approach to the Diophantine Equation ax^2-by^2=+-1 (2004): appeared in JP Jour. Alg. Number Theory and Applications, Vol. 4, pp. 159--207:
A Description of Continued Fraction Expansions of Quadratic Surds Represented by Polynomials (2004):
Infinitely Many Quadratic Diophantine Equations Solvable Everywhere Locally but Not Solvable Globally (2004): appeared in JP Journal Algebra, Number Theory and Appl., Volume 4, 353-- 362:
When the Central Norm is 2 in the Simple Continued Fraction Expansion of a Quadratic Surd: appeared in Math. Rep. Acad. Sci. Canada, Volume 26 (2004),51--54:
Class numbers, quadratics, and exponential Diphantine equations: appeared in JP J. Algebra Number Theory Appl., Volume 4, (2004), 537-548;
Construction of Families of Long Continued Fractions Revisited (2003)
Matrices and continued fractions (2003)
On the Tate-Shafarevich Groups of y^2=x(x^2-k^2) (2003)
The Diophantine Equation AX^2-BY^2=C Solved Via Continued Fractions (2002)
New Prime-Producing Quadratic Polynomials Related to Class Number One and Two (2002)
Continued Fractions and Class Number Two (2001)
Applications of a new class number two criterion for real quadratic fields (2001)
Polynomials of Pellian Type and Continued Fractions (2001)
A Simple Criterion for Solvability of both X^2-DY^2=c and x^2-Dy^2=-c (2001)
Continued fractions and class number two (2000)
Fundamental units and continued fractions two (2000)
Rabinowitsch Revisited (2000): appeared in Acta Arith. Vol 96, pp. 139--153:
Cyclic Subgroups of Ideal Class Groups in Real Quadratic Orders (1999)
Palindromy and Ambiguous Ideals Revisited (1999)
Continued Fraction Gems (1999): appeared in Nieuw Arch. Wisk. Volume 17, 383--405: All Solutions of the Diophantine Equation x^2-Dy^2=n (1998): appeared in Far East J. Math. Special Volume III, pp. 257--293:
Prime Producing Quadratics (1997)
The Palindromic Index... (1995)
Quadratic Residue Covers for Certain Real Quadratic Fields (1994) Quadratic Irrationals, Ambiguous Classes, and Symmetry in Real Quadratic Fields (1994)
Orders in Quadratic Fields I (1993)
Ambiguous Classes in Quadratic Fields (1993)
On Real Quadratic Fields of Class Number Two (1992)
Prime producing quadratic polynomials and real quadratic fields of class number one (1991)
Affirmative Solution of a Conjecture Related to a Sequence of Shanks (1991) Solution of a Problem of Yokoi (1990)
Continued fractions of period five and real quadratic fields of class number one(1990)
Period Four and Real Quadratic Fields of Class Number One (1989) Invariants in Group Rings (1988)
A Conjecture of S. Chowla Via the Generalized Riemann Hypothesis (1988)
Necessary and Sufficient Conditions for the Class Number of a Real Quadratic Field to be One, and a Conjecture of S. Chowla (1988)
Class Number One Criteria for Real Quadratic Fields I (1987)
Class Number One Criteria for Real Quadratic Fields II (1987)
AMS review of the above two papers
The Power of Powerful Numbers (1987)
On Permutation Polynomials Over Finite Fields (1987)
Class Numbers of Quadratic Fields Determined by Solvability of Diophantine Equations (1987)
Class Groups, Totally Positive Units, and Squares (1986)
On Class Numbers of Quadratic Extensions of Algebraic Number Fields (1986) Diophantine Equations and Class Numbers (1986)
More on the Schur Group of a Commutative Ring (1985)
Uniform Distribution of Hasse Invariants (1985)
Admissible Groups, Symmetric Factor Sets, and Simple Algebras (1984)
Minimal Cyclotomic Splitting Fields for Group Characters (1984)
Class Numbers and a Generalized Fermat Theorem (1983)
Totally Positive Units and Squares (1983)
Induced p-elements in the Schur Group (1980)
Splitting Fields and Group Characters (Crelle's Journal 1980)
Uniform Distribution Classified (1979)
Algebras With Uniformly Distributed Invariants (1977)
Uniform Distribution and the Schur Group (1976)
Uniform Distribution and Real Fields (1976)
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