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Sums of one prime power and two squares of primes in short intervals

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Published in 2021 at "Rocky Mountain Journal of Mathematics"

DOI: 10.1216/rmj.2021.51.213

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… read more here.

Keywords: squares primes; prime power; sums one; two squares ... See more keywords