Wyniki wyszukiwania

Sortuj według:

Ogranicz wyniki do:

Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II

100%

Grundman H., Hall-Seelig L.

Acta Arithmetica

2015

tom 171

nr 3

257-276

Let k ∈ ℤ be such that $|𝓔_k(ℚ)|$ is finite, where $𝓔_k: y² = 1 - 2kx + k²x² - 4x³$. We complete the determination of all solutions to xyz = 1 and x + y + z = k in integers of number fields of degree at most four over ℚ.

New solutions to xyz = x+y+z = 1 in integers of quartic fields

100%

Grundman H., Hall L.

Acta Arithmetica

2004

tom 112

nr 4

405-409

Solutions to xyz = 1 and x+y+z = k in algebraic integers of small degree, I

100%

Grundman H., Hall-Seelig L.

Acta Arithmetica

2014

tom 162

nr 4

381-392

Let k ∈ ℤ be such that $|𝓔_k(ℚ )| = 3$, where $𝓔_k: y² = 1 - 2kx + k²x² - 4x³$. We determine all solutions to xyz = 1 and x + y + z = k in integers of number fields of degree at most four over ℚ.

Ograniczanie wyników

3 Acta Arithmetica

3 Grundman H.

2 Hall-Seelig L.

1 Hall L.

1 2015

1 2014

1 2004

Wyniki wyszukiwania

Solutions to xyz = 1 and x + y + z = k in algebraic integers of small degree, II

New solutions to xyz = x+y+z = 1 in integers of quartic fields

Solutions to xyz = 1 and x+y+z = k in algebraic integers of small degree, I