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.
Sum of one prime and two squares of primes in short intervals / Languasco, Alessandro; Zaccagnini, Alessandro. - In: JOURNAL OF NUMBER THEORY. - ISSN 0022-314X. - 159:(2016), pp. 45-58. [10.1016/j.jnt.2015.07.010]
Sum of one prime and two squares of primes in short intervals
ZACCAGNINI, Alessandro
2016-01-01
Abstract
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.File in questo prodotto:
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