Integers of a quadratic field with prescribed sum and product
نویسندگان
چکیده
For given $k,\ell \in \mathbb Z$ we study the Diophantine system $$x+y+z=k, \quad x y z = \ell $$ for $x,y,z$ integers in a quadratic number field, which has history literature. When $\ell =1$, describe all such solutions; only $k=5,6$, do
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ژورنال
عنوان ژورنال: Colloquium Mathematicum
سال: 2023
ISSN: ['0010-1354', '1730-6302']
DOI: https://doi.org/10.4064/cm9023-11-2022