Let k≥1 be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers n=pk1+p22+p23, where p1,p2,p3 are prime numbers, holds in intervals shorter than the ones previously known.
Sums of one prime power and two squares of primes in short intervals
Alessandro Languasco
;
2021
Abstract
Let k≥1 be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers n=pk1+p22+p23, where p1,p2,p3 are prime numbers, holds in intervals shorter than the ones previously known.
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