Saša Novaković

collaborators

2 papers

math.NT2023

On the diophantine equation $A n! + B m! = f (x, y)$

Saša Novaković

Erdös and Obláth proved that the equation $n! \pm m! = x^{p}$ has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that $P (x) = A n! + B m!$ has finit…

math.NT2023

A note on some polynomial-factorial diophantine equations

Saša Novaković

In 1876 Brocard, and independently in 1913 Ramanujan, asked to find all integer solutions for the equation $n! = x^{2} - 1$ . It is conjectured that this equation has only three solutions…

On the diophantine equation An!+Bm!=f(x,y)

A note on some polynomial-factorial diophantine equations

On the diophantine equation $A n! + B m! = f (x, y)$