Short intervals asymptotic formulae for binary problems with primes and powers, II: density 1
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squareasymptoticformulaeintervalsprimeproblemsshortassuming
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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.
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