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Short intervals asymptotic formulae for binary problems with primes and powers, I: density $3/2$
Published 9 Apr 2015 in math.NT | (1504.02271v3)
Abstract: We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime and a square, or a prime square. Such results are obtained both assuming the Riemann Hypothesis and in the unconditional case.
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