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watt's mean value theorem

Proceedings of the London Mathematical Society (1)

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THE DIFFERENCE BETWEEN CONSECUTIVE PRIMES, II
R. C. BAKER, G. HARMAN, J. PINTZ
Journal:

Proceedings of the London Mathematical Society / Volume 83 / Issue 3 / November 2001

Published online by Cambridge University Press:

22 October 2001, pp. 532-562

Print publication:

November 2001
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The authors sharpen a result of Baker and Harman (1995), showing that [x, x + x0.525] contains prime numbers for large x. An important step in the proof is the application of a theorem of Watt (1995) on a mean value containing the fourth power of the zeta function. 2000 Mathematical Subject Classification: 11N05.