Let $R_s(n)$ denote the number of representations of the positive number $n$as the sum of two squares and $s$ biquadrates. When $s=3$ or $4$, it isestablished that the anticipated asymptotic formula for $R_s(n)$ holds for all$n\le X$ with at most $O(X^{(9-2s)/8+\varepsilon})$ exceptions.
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机译:令$ R_s(n)$表示正数$ n $的表示数量,即两个平方和$ s $二阶数之和。当$ s = 3 $或$ 4 $时,可以确定$ R_s(n)$的预期渐近公式适用于所有$ n \ le X $,且最多$ O(X ^ {(9-2s)/ 8 + \ varepsilon})$例外。
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