Let $g \geq 2$ be an integer. A natural number is said to be a base-g Niven number if it is divisible by the sum of its base-g digits. Assuming Hooley’s Riemann hypothesis, we prove that the set of base-g Niven numbers is an additive basis, that is, there exists a positive integer $C_g$ such that every natural number is the sum of at most $C_g$ base-g Niven numbers.

中文翻译：

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加法基数和 NIVEN 数

让$g \geq 2$是一个整数。自然数被称为base-g 尼文数如果它可以被它的基数之和整除G位数。假设 Hooley 的黎曼假设，我们证明G尼文数是加法基，即存在一个正整数$C_g$使得每个自然数最多是$C_g$根据-G尼文数字。