Some Selected Papers downloadable in PDF:
Euler-Rabiniowitsch polynomials and class number problems revisited (2011) 
Solving Diophantine equations via Lucas-Lehmer theory (2010)
AMS review of the above paper
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)
Riemann's zet function (2009)
Characterization of D=P^2+Q^2 when gcd(P,Q))=1 and x^2-Dy^2=-1 has no integer solutions (2009)
AMS review of the above paper
Class number two for real quadratic fields of Richaud-Degert type (2009)
AMS review of the above paper
The Rabinowitsch-Mollin_williams Theorem Revisited (2009)
Cryptography and Shift Registers (2009)
On Factoring (2008)
The Number of Bounded Solutions... (2008)
AMS review of the above paper
General Criteria for Determination of Class Groups of Real Quadratic Orders (2008)
AMS review of the above paper
Class numbers of real quadratic orders, generalized Fermat numbers, and exponential Diophantine equations (2007)
AMS review of the above paper
On a Generalized Kaplansky Conjecture (2007)
Recognizing Primes (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)
AMS review of the above paper
Lagrange, Central Norms, and Quadratic Diophantine Equations (2005)
AMS review of the above paper
Norm Form Equations and Continued Fractions (2005)
AMS review of the above paper
Generalized Lagrange Criteria for Certain Quadratic Diophantine Equations (2005)
AMS review of the above paper
Eisenstein equations and central norms: appeared in C.R. Math. Acad. Sci. R. Can., Volume 27, (2005), 20-24;
AMS review of the above paper
On an elementary approach to the Lebesque-Nagell equation: appeared in Int. J. Number Theory, Volume 1, (2005), 553--561;
AMS review of the above paper
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;
AMS review of the above paper
Class groups and quadratic diophantine equations: appeared in JP J. Algebra, Number Theory App., Volume 5, (2005), 331-347;
AMS review of the above paper
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;
AMS review of the above paper
Construction of Families of Long Continued Fractions Revisited (2003)
AMS review of the above paper
Matrices and continued fractions (2003)
On the Tate-Shafarevich Groups of y^2=x(x^2-k^2) (2003)
AMS review of the above paper
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)
AMS review of the above paper
Continued Fractions and Class Number Two (2001)
AMS review of the above paper
Applications of a new class number two criterion for real quadratic fields (2001)
Polynomials of Pellian Type and Continued Fractions (2001)
AMS review of the above paper
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:
AMS review of he above paper
Cyclic Subgroups of Ideal Class Groups in Real Quadratic Orders (1999)
AMS review of the above paper
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:
AMS review of the above paper
Prime Producing Quadratics (1997)
AMS review of the above paper
The Palindromic Index... (1995)
AMS review of the above paper
Quadratic Residue Covers for Certain Real Quadratic Fields (1994)
Quadratic Irrationals, Ambiguous Classes, and Symmetry in Real Quadratic Fields (1994)
AMS review of the above paper
Orders in Quadratic Fields I (1993)
Ambiguous Classes in Quadratic Fields (1993)
On Real Quadratic Fields of Class Number Two (1992)
AMS review of the above paper
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)
AMS review of the above paper
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)
AMS review of the above paper
Uniform Distribution of Hasse Invariants (1985)
Admissible Groups, Symmetric Factor Sets, and Simple Algebras (1984)
Minimal Cyclotomic Splitting Fields for Group Characters (1984)
AMS review of the above paper
Class Numbers and a Generalized Fermat Theorem (1983)
AMS review of the above paper
On The Cyclotomic Polynomial
AMS review of the above paper
Totally Positive Units and Squares (1983)
AMS review of the above paper
Induced p-elements in the Schur Group (1980)
Splitting Fields and Group Characters (Crelle's Journal 1980)
Uniform Distribution Classified (1979)
AMS review of the above paper
Algebras With Uniformly Distributed Invariants (1977)
AMS review of the above paper
Uniform Distribution and the Schur Group (1976)
AMS review of the above paper
Uniform Distribution and Real Fields (1976)
AMS review of the above paper
------------------------------------------
Return to R.A.Mollin's homepage