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math.NT2016
On the distribution of polynomials with bounded height
Csanád Bertók, Lajos Hajdu, Attila Pethő
We provide an asymptotic expression for the probability that a randomly chosen polynomial with given degree, having integral coefficients bounded by some B, has a prescribed signat…
math.NT2014
A Hasse-type principle for exponential diophantine equations and its applications
Cs. Bertok, L. Hajdu
We propose a conjecture, similar to Skolem's conjecture, on a Hasse-type principle for exponential diophantine equations. We prove that in a sense the principle is valid for "almos…