In:
Canadian Journal of Mathematics, Canadian Mathematical Society, Vol. 53, No. 2 ( 2001-04-01), p. 414-433
Abstract:
For c 〉 1 we denote by πc(x) the number of integers n ≤ x such that ⌊n c ⌋ is prime. In 1953, Piatetski-Shapiro has proved that holds for c 〈 12/11. Many authors have extended this range, which measures our progress in exponential sums techniques. In this article we obtain c 〈 1.16117….
Type of Medium:
Online Resource
ISSN:
0008-414X
,
1496-4279
DOI:
10.4153/CJM-2001-017-0
Language:
English
Publisher:
Canadian Mathematical Society
Publication Date:
2001
detail.hit.zdb_id:
1467410-5
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