Primes between consecutive squares and the Lindelöf hypothesis
نویسنده
چکیده
At present it is not known an unconditional proof that between two consecutive squares there is always a prime number. In a previous paper the author proved that, under the assumption of the Lindelöf hypothesis, each of the intervals [n, (n + 1)] ⊂ [1, N ], with at most O(N) exceptions, contains the expected number of primes, for every constant ε > 0. In this paper we improve the result by weakening the hypothesis in two different ways.
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عنوان ژورنال:
- Periodica Mathematica Hungarica
دوره 66 شماره
صفحات -
تاریخ انتشار 2013