We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime square 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, II: density 1 / Languasco, Alessandro; Zaccagnini, Alessandro. - In: MONATSHEFTE FÜR MATHEMATIK. - ISSN 0026-9255. - 181:2(2016), pp. 419-435. [10.1007/s00605-015-0871-z]
Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1
ZACCAGNINI, Alessandro
2016-01-01
Abstract
We prove that suitable asymptotic formulae in short intervals hold for the problems of representing an integer as a sum of a prime square 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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