It is established that for every pair of additive forms $f,g$ of degree $k$ in more than $2k^2$ variables, the equations $f=g=0$ have a non-trivial $p$-adic solution for all odd primes $p$.

中文翻译：

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关于阿廷的猜想：成对的加法形式

已确定对于每一对加法形式$F,G$学位$ķ$在超过$2{ķ}^2$变量，方程$F=G=0$有一个不平凡的$p$- 所有奇数素数的进数解$p$.