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 third author, which dealt with the case k = 2 and k = 3, respectively. We use the same technique to study the corresponding problem for sums of just k perfect k-th powers of primes.
Cantarini, M., Gambini, A., Zaccagnini, A. (2020). On the average number of representations of an integer as a sum of like prime powers. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 148(4), 1499-1508.
On the average number of representations of an integer as a sum of like prime powers
A. Gambini
;
2020
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 third author, which dealt with the case k = 2 and k = 3, respectively. We use the same technique to study the corresponding problem for sums of just k perfect k-th powers of primes.File in questo prodotto:
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