A characterization of linear polynomials

✍ Scribed by Ivica Gusić

• Publisher: Elsevier Science
• Year: 2005
• Tongue: English
• Weight: 104 KB
• Volume: 115
• Category: Article
• ISSN: 0022-314X
• DOI: 10.1016/j.jnt.2005.01.007

✦ Synopsis

We give a characterization of linear polynomials over a number field k as the only nonconstant polynomials f for which the equation f (x) = g(y) has a k-rational solution for each polynomial g over k.