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.
Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2 / Languasco, Alessandro; Zaccagnini, Alessandro. - In: RAMANUJAN JOURNAL. - ISSN 1382-4090. - 42:2(2017), pp. 371-383. [10.1007/s11139-016-9805-1]
Short intervals asymptotic formulae for binary problems with primes and powers, I: density 3/2
ZACCAGNINI, Alessandro
2017-01-01
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.File in questo prodotto:
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