Glasnik matematički, Vol. 41 No. 1, 2006.
Original scientific paper
Computational experiences on norm form equations with solutions forming arithmetic progressions
Attila Bérczes
Attila Pethö
Abstract
In the present paper we solve the equation
NK/Q(x0 + x1α + x2α2 + ... + xn -1αn -1) = 1
in x0, ... , xn -1 ∈ Z, such that x0, ... , xn -1 is an arithmetic progression, where α is a root of the polynomial xn - a, for all integers 2 ≤ a ≤ 100 and n ≥ 3.
Keywords
Norm form equation; arithmetic progression; binomial Thue equation
Hrčak ID:
3294
URI
Publication date:
24.5.2006.
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