[HTML][HTML] Sum of one prime and two squares of primes in short intervals
A Languasco, A Zaccagnini - Journal of Number Theory, 2016 - Elsevier
… Assuming the Riemann Hypothesis we prove that the interval [ N , N + H ] contains an
integer which is a sum of a prime and two squares of primes provided that H ≥ C ( log N ) 4 ,
where C > 0 is an effective constant. … Several results about the cardinality E ( N ) of the set of
integers n ≤ N , n ∈ A which are not representable as a sum of a prime and two prime squares
were proved during the last 75 years; we recall the papers of Hua [3], Schwarz [17], Leung–Liu
[11], Wang [18], Wang–Meng [19], Li [12] and Harman–Kumchev [2]. Recently L. Zhao [20] …
integer which is a sum of a prime and two squares of primes provided that H ≥ C ( log N ) 4 ,
where C > 0 is an effective constant. … Several results about the cardinality E ( N ) of the set of
integers n ≤ N , n ∈ A which are not representable as a sum of a prime and two prime squares
were proved during the last 75 years; we recall the papers of Hua [3], Schwarz [17], Leung–Liu
[11], Wang [18], Wang–Meng [19], Li [12] and Harman–Kumchev [2]. Recently L. Zhao [20] …
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