On the average number of representations of an integer as a sum of like prime powers
01 Pubblicazione su rivista
Cantarini M., Gambini A., Zaccagnini A.
ISSN: 0002-9939
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.