2 papers
math.NT2025
Least zero of pairs of additive cubic equations
Yixiu Xiao, Hongze Li
An effective upper bound is established for the least non-trivial integer solution to the system of cubic forms \[ \begin{cases} F = c_{1}x_1^3 + c_{2}x_2^3 + \cdots + c_{n}x_n^3 =…
math.NT2024
Least zero of a cubic form
Yixiu Xiao, Hongze Li
An explicit upper bound is established for the least non-trivial integer zero of an arbitrary cubic form provided that