We continue our work on averages for ternary additive problems with powers of prime numbers in short intervals by computing the average number of representations of a positive integer $n$ as $p_1^{k_1} + p_2^{k_2} + p_3^{k_3}$, where $p_1$, $p_2$ and $p_3$ are prime numbers and $2 le k_1 le k_2 le k_3$ are natural numbers.
On an average ternary problem with prime powers
Alessandro Languasco;
2020
Abstract
We continue our work on averages for ternary additive problems with powers of prime numbers in short intervals by computing the average number of representations of a positive integer $n$ as $p_1^{k_1} + p_2^{k_2} + p_3^{k_3}$, where $p_1$, $p_2$ and $p_3$ are prime numbers and $2 le k_1 le k_2 le k_3$ are natural numbers.
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