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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

https://hrcak.srce.hr/3294

Datum izdavanja:

24.5.2006.

Posjeta: 1.176 *