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math.NT2015★ 12 cited
Short intervals asymptotic formulae for binary problems with primes and powers, II: density
Alessandro Languasco, Alessandro Zaccagnini
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 resu…
math.NT2015★ 5 cited
Short intervals asymptotic formulae for binary problems with primes and powers, I: density
Alessandro Languasco, Alessandro Zaccagnini
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…