Let k≥1 be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers n=p1k+p22+p32, where p1, p2, p3 are prime numbers, holds in… Click to show full abstract
Let k≥1 be an integer. We prove that a suitable asymptotic formula for the average number of representations of integers n=p1k+p22+p32, where p1, p2, p3 are prime numbers, holds in intervals shorter than the ones previously known.
               
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