Solutions to xyz = 1 and x+y+z = k in algebraic integers of small degree, I
H. G. Grundman, L. L. Hall-Seelig (2014)
Acta Arithmetica
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Let k ∈ ℤ be such that , where . We determine all solutions to xyz = 1 and x + y + z = k in integers of number fields of degree at most four over ℚ.