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The Difference Between Consecutive Primes, II
Author(s) -
Baker R. C.,
Harman G.,
Pintz J.
Publication year - 2001
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/83.3.532
Subject(s) - mathematics , watt , prime number , prime number theorem , prime (order theory) , discrete mathematics , riemann zeta function , mean value , arithmetic , calculus (dental) , combinatorics , pure mathematics , power (physics) , statistics , medicine , physics , dentistry , quantum mechanics
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.