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arXiv · 1805.09008

On the average number of representations of an integer as a sum of like prime powers

Marco Cantarini·Alessandro Gambini·Alessandro Zaccagnini
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Abstract

We investigate the average number of representations of a positive integer as the sum of $k + 1$ perfect $k$-th powers of primes. We extend recent results of Languasco and the last Author, which dealt with the case $k = 2$ [6] and $k = 3$ [5] respectively. We use the same technique to study the corresponding problem for sums of just $k$ perfect $k$-th powers of primes.

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Marco Cantarini, Alessandro Gambini, Alessandro Zaccagnini. 2018-05-23. On the average number of representations of an integer as a sum of like prime powers. https://doi.org/10.1090/proc/14827

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