### 2005 Publications

#### It is easy to determine whether a given integer is prime, Bulletin of the American Mathematical Society, 42 (2005), 3-38.

A survey about the AKS deterministic polynomial time primality test.

Article

#### On the Distribution of Rational Functions Along a Curve over $$F_p$$ and Residue Races (with Igor Shparlinski and Alexandru Zaharescu) Journal of Number Theory, 112 (2005), 216-237.

We show that the points on a curve in $$\mathbb F_p^k$$, projected onto $$(\mathbb R/\mathbb Z)^k$$, are uniformly distributed in some linear subspace.

Article

#### Carreras de numeros primos (with Greg Martin) La Gaceta de le Real Sociedad Matematica Espanola , 8.18 (2005), 197-240.

A survey paper on prime number races in Spanish -- the English version appeared the following year

Article