On an additive prime divisor function of Alladi and Erdos
classification
🧮 math.NT
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additivealladialphadivisorfunctionprimediscussesdistributed
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This paper discusses the additive prime divisor function $A(n) := \sum\limits_{p^\alpha || n} \alpha \, p$ which was introduced by Alladi and Erd\H os in 1977. It is shown that $A(n)$ is uniformly distributed (mod $q$) for any fixed integer $q > 1.$
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