with Javier Cilleruelo
Article |
Lattice points on circles, squares in arithmetic progressions,
and sumsets of squares
Proceedings, Additive Combinatorics workshop, Montreal 2006 |
Article |
An Introduction to Additive Combinatorics
Proceedings, Additive Combinatorics workshop, Montreal 2006 |
Computational number theory
Article and AMS Review
|
It is easy to determine whether a given integer is prime,
Bulletin of the American Mathematical Society 42 (2005), pages 3-38 |
Article
|
Smooth numbers: Computational number theory and beyond
MSRI workshop , proceedings |
Article and
AMS Review
|
Primality testing and Carmichael numbers
Notices of the American Mathematical Society vol 39 (1992),
pages 696--700 |
Distribution of primes
Article |
Analytic Number Theory,
Princeton Companion to Mathematics |
Article |
Prime number patterns
American Mathematical Monthly |
Article |
A good new millenium for the primes
The Madrid Intelligencer
(2006) pages 32-36 |
with Greg Martin
Article and in Spanish
|
Prime number races / Carreras de numeros primos
American Mathematical Monthly and
La Gaceta de le Real Sociedad Matematica Espanola vol
8.1 (2005) pages 197-240 |
Article and in French
|
Prime Possibilities and Quantum Chaos, Emissary (Spring 2002) and
Nombres premiers et chaos quantique,
Gazette des Mathematiciens vol
97 (2003) pages 29--44 |
Article and AMS Review
|
Unexpected irregularities in the distribution of prime numbers
Proceedings of the
International Congress of Mathematicians (Zürich, 1994), vol
1, 2, pages 388--399.
|
Article and AMS Review
|
Harold Cramér and the distribution of prime numbers
Scandanavian Actuarial J., 1 (1995), pages
12- 28 |
Article |
International team shows that primes can be found in surprising places
Resonance, 3 (1998) pages 71--72 |
Classical analytic number theory
with Zeev Rudnick
Article |
Uniform distribution
in Equidistribution in number theory, An introduction
(2007) pages 1-13 |
Classical algebraic number theory
Article |
The Fundamental Theorem of Arithmetic
in Mathematics and Culture |
Arithmetic Geometry
with Tom Tucker
Article and
AMS Review
|
It's as easy as abc
Notices of the American Mathematical Society, vol 49 (2002), pages 1224-1231 |
Article |
The distribution of roots of a polynomial
in Equidistribution in number theory, An introduction
(2007) pages 93-102 |
with Zeev Rudnick
Article |
Torsion points on curves
in Equidistribution in number theory, An introduction
(2007) pages 85-92 |
Biographies
Article |
Computation at the heart of mathematics
Celebrating the work of David Boyd
PIMS magazine, 9.1 (Summer 2005) |
Article |
On the research contributions of Hugh C. Williams
"High Primes and Misdemeanours: Lectures in honour of the 60th birthday of Hugh
Cowie Williams" Fields Institute Communications 41 (2004) pages 197--216 |
Article |
Paulo Ribenboim on his retirement
"Advances in Number Theory" (ed. F.Q. Gouvea and N. Yui)
New York, Oxford University Press, (1993) pages 469--478 |
Binomial Coefficients
Article and AMS Review
|
Arithmetic Properties of Binomial Coefficients I: Binomial
coefficients modulo prime powers
Canadian Mathematical Society Conference Proceedings,
vol 20 (1997) pages 253-275
|
Article and AMS Review;
Corrigendum and AMS Review
|
Zaphod Beeblebrox's brain and the fifty-ninth row of Pascal's triangle
American Mathematical Monthly, vol 99 (1992) pages 318-331;
(Corrigendum) vol 104 (1997) pages 848-851 |
Diophantine Equations
Article |
The latest on Catalan's Conjecture
Focus, 13 (4) (April 2001) pages 3--4 |
with Michael Monagan
Article |
The Status of Fermat's Last Theorem -- mid 1994
Maple in Mathematics and Sciences (1994) pages 6--9 |
with Keith Devlin and
Fernando Gouvea
Article |
Fermat's Last Theorem, a Theorem at Last
Focus 13 (August 1993) pages 3--4 |
with Ian Katz
Article |
The number's up for maths' greatest riddle
The Guardian, section 2, (24th June 1993) pages 1--3 |
Reviews
Article |
Review of ``Notes on Fermat's Last Theorem'' by Alf van der Poorten
American Mathematical Monthly,
106 (1999), pages 177--181.
|
Article |
Review of BBC's Horizon Program,``Fermat's Last Theorem''
Notices of the American Mathematical Society,
44 (1997), pages 26--28.
|
with Nigel Boston
Article |
Review of ``The World's Most Famous Math Problem'' by Marilyn vos Savant
American Mathematical Monthly,
102 (1995), pages 470--473.
|
|