On polynomials in primes and J. Bourgain's circle method approach to ergodic theorems
1991 ◽
Vol 11
(3)
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pp. 485-499
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Keyword(s):
In this paper we prove the following theorem.Theorem 1. For a measure-preserving system (X, β, μ, T) and a positive integer k, if f ∈ L2(X, β, μ), the averages,converge μ almost everywhere. Here p runs over the rational primes and πN denotes their number in [1, N].
1974 ◽
Vol 26
(5)
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pp. 1206-1216
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Keyword(s):
1961 ◽
Vol 5
(1)
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pp. 35-40
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1955 ◽
Vol 7
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pp. 347-357
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1968 ◽
Vol 9
(2)
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pp. 146-151
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1962 ◽
Vol 14
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pp. 334-348
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1953 ◽
Vol 1
(3)
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pp. 119-120
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1963 ◽
Vol 6
(2)
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pp. 70-74
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1993 ◽
Vol 13
(2)
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pp. 319-334
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1964 ◽
Vol 16
◽
pp. 94-97
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