Algebra and Number Theory Group: Home Page
# Number Theory Group

## Department of mathematics

## of the University of Pisa

## Research

Algebraic number theory: algebraic extentions of Q. Galois groups
of extensions of Q.
Diophantine approximation: Irrationality measures for classical constants
related to hypergeometric functions.
Number of solutions of some
diophantine equations.
Arithmetic algebraic geometry: Algebraic curves and factorization problems
for polynomials with integer coefficients.
Geometry of numbers: Symplexes and polytopes.
Elementary number theory: Practical numbers, Erdos's problems.
Theory of finite groups: theorems of existence of subgroups and properties
of the factorization of the order of a finite group.

## People

(melfi@dm.unipi.it)