2 papers
math.NT2024
On unsolvable equations of prime degree
Juliusz Brzeziński, Jan Stevens
Kronecker observed that either all roots or only one root of a solvable irreducible equation of odd prime degree with integer coefficients are real. This gives a possibility to con…
math.NT2003
On the congruence ax+by = 1 modulo xy
J. Brzezinski, W. Holsztynski, P. Kurlberg
We give bounds on the number of solutions to the Diophantine equation (X+1/x)(Y+1/y) = n as n tends to infinity. These bounds are related to the number of solutions to congruences…