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Sum of one prime and two squares of primes in short intervals
Published 13 Jun 2014 in math.NT | (1406.3441v3)
Abstract: Assuming the Riemann Hypothesis we prove that the interval $[N, N + H]$ contains an integer which is a sum of a prime and two squares of primes provided that $H \ge C (\log N){4}$, where $C > 0$ is an effective constant.
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