4 citations · 8 across the 12 of their papers we have counts for
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Almost perfect inhomogeneous powers in arithmetic progression
Saša Novaković
Let be a finite set of primes and write for the set of those non-zero integers whose prime divisors belong to . Hajdu proved that the abc conjecture implies t…
A comment on the equation
Saša Novaković
We study the equation and show that in certain special cases the explicit abc conjecture implies that it has only finitely many nontrivial solutions.
Products of factorials which are products of factorials
Saša Novaković
In this note, we look at the diophantine equation $$ \prod_{i=1}^ta_i!=\prod_{j=1}^sn_i!, \quad n_1\geq \cdots \geq n_s\geq 2 \quad \textnormal{and}\quad n_1>a_1\geq a_2\geq\cdots…
On a generalization of the Brocard--Ramanujan Diophantine equation
Saša Novaković
Let be polynomials having as a root. Let be a homogeneous polynomial with factorization $f(x,y)=f_1(x,y)^{e_1}\cdots f…
The Diophantine equation
Saša Novaković
Naciri proved that for any integer , the Brocard--Ramanujan equation has only finitely many integer solutions, assuming is a -free integer or a prime…
Diophantine equations involving double factorials
Saša Novaković
We are motivated by a result of Alzer and Luca who presented all the integer solutions to the relations and . We modify the equations…
Diophantine equations involving powers of factorials
Saša Novaković
We are motivated by a result of Alzer and Luca who presented all the integer solutions to the relations and . We consider the equatio…
On the diophantine equation
Saša Novaković
Erdös and Obláth proved that the equation has only finitely many integer solutions. More general, under the ABC-conjecture, Luca showed that has finit…