Glasnik matematički, Vol. 41 No. 1, 2006.
Izvorni znanstveni članak
Computational experiences on norm form equations with solutions forming arithmetic progressions
Attila Bérczes
Attila Pethö
Sažetak
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.
Ključne riječi
Norm form equation; arithmetic progression; binomial Thue equation
Hrčak ID:
3294
URI
Datum izdavanja:
24.5.2006.
Posjeta: 886 *