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arXiv · 1504.02271

Short intervals asymptotic formulae for binary problems with primes and powers, I: density $3/2$

Alessandro Languasco·Alessandro Zaccagnini
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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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Alessandro Languasco, Alessandro Zaccagnini. 2015-11-28. Short intervals asymptotic formulae for binary problems with primes and powers, I: density $3/2$. https://doi.org/10.1007/s11139-016-9805-1

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