Addendum to the paper:

A. Schinzel

Skip to main content (access key 's'), Skip to navigation (access key 'n'), Accessibility information (access key '0')

The search session has expired. Please query the service again.

Displaying similar documents to “Addendum to the paper:'On two theorems of Gelfond and some of their applications' (Acta Arith. 13 (1967), pp. 177-236)”

On the diophantine equation x - x = y - y.

Maurice Mignotte, Attila Petho (1999)

Publicacions Matemàtiques

Similarity:

We consider the diophantine equation (*) x^p - x = y^q - y in integers (x, p, y, q). We prove that for given p and q with 2 ≤ p < q, (*) has only finitely many solutions. Assuming the abc-conjecture we can prove that p and q are bounded. In the special case p = 2 and y a prime power we are able to solve (*) completely.