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.
On the average number of representations of an integer as a sum of like prime powers / Cantarini, M.; Gambini, A.; Zaccagnini, A.. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9939. - (2020).
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 allegati a questo prodotto
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