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On the distribution of primes in short intervals

Published online by Cambridge University Press:  26 February 2010

P. X. Gallagher
Affiliation:
Mathematics Department, Columbia University, New York, New York 10027 (U.S.A.).
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One of the formulations of the prime number theorem is the statement that the number of primes in an interval (n, n + h], averaged over nN, tends to the limit λ, when N and h tend to infinity in such a way that hλ log N, with λ a positive constant.

Type
Research Article
Copyright
Copyright © University College London 1976

References

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