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arxiv: 1406.3441 · v3 · pith:A2Z4SMFInew · submitted 2014-06-13 · 🧮 math.NT

Sum of one prime and two squares of primes in short intervals

classification 🧮 math.NT
keywords primeprimessquaresassumingconstantcontainseffectivehypothesis
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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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