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The Pjateckiĭ-S̆apiro prime number theorem |
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| Authors: | DR Heath-Brown |
| Institution: | Department of Mathematics, Magdalen College, Oxford OX1 4AU, England |
| Abstract: | It is proved that the sequence nc] contains the expected number of primes whenever 1 < c < 1.1404…, thus improving Kolesnik's range 1 < c < 1.1111…. An identity of Vaughan's type in five variables is needed. |
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