Points entiers sur les courbes de genre 0
Polynomials dividing infinitely many quadrinomials or quintinomials
Power integral bases in orders of composite fields.
Power integral bases in the family of simplest quartic fields.
p-primary parts of unit traces and the p-adic regulator
Products of disjoint blocks of consecutive integers which are powers
The product of consecutive integers cannot be a power (after Erdős and Selfridge), but products of disjoint blocks of consecutive integers can be powers. Even if the blocks have a fixed length l ≥ 4 there are many solutions. We give the bound for the smallest solution and an estimate for the number of solutions below x.