Tests de primalité d'après Adleman, Rumely, Pomerance et Lenstra
The 3rd Czech and Polish Conference on Number Theory. Problem session
The Bloch-Kato conjecture on special values of -functions. A survey of known results
This paper contains an overview of the known cases of the Bloch-Kato conjecture. It does not attempt to overview the known cases of the Beilinson conjecture and also excludes the Birch and Swinnerton-Dyer point. The paper starts with a brief review of the formulation of the general conjecture. The final part gives a brief sketch of the proofs in the known cases.
The Haros-Farey sequence at two hundred years. A survey.
The number-theoretic work of Paul Turán
The power of powerful numbers.
The subspace theorem and applications.
The theory of asymptotic distribution modulo one
The work of Mazur and Wiles on cyclotomic fields
Theorie der Gitterpunkte.
Topics in computational algebraic number theory
We describe practical algorithms from computational algebraic number theory, with applications to class field theory. These include basic arithmetic, approximation and uniformizers, discrete logarithms and computation of class fields. All algorithms have been implemented in the Pari/Gp system.