2 papers
math.NT2022
Solubility of Additive Forms of Twice Odd Degree over
Drew Duncan, David B. Leep
We prove that an additive form of degree , odd, , over the unramified quadratic extension has a nontrivial zero if the number of variables…
math.NT2021
Solubility of Additive Quartic Forms over Ramified Quadratic Extensions of
Drew Duncan, David B. Leep
We determine the minimal number of variables which guarantees a nontrivial solution for every additive form of degree over the four ramified quadratic extensions…