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" The distribution of prime numbers : "
by M.N. Huxley.
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BL
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| Record Number
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711991
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| Doc. No
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b534180
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| Main Entry
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Huxley, M. N., (Martin Neil)
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| Title & Author
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The distribution of prime numbers : : large sieves and zero-density theorems /\ by M.N. Huxley.
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| Publication Statement
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Oxford :: Clarendon Press,, 1972.
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| Series Statement
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Oxford mathematical monographs
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| Page. NO
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x, 128 p. :: ill. ;; 24 cm.
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| ISBN
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019853518X
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: 9780198535188
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| Bibliographies/Indexes
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Bibliography: p. [124]-125.
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| Contents
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pt. I. Introductory results. Arithmetical functions -- Some sum functions -- Characters -- Pólya's theorem -- Dirichlet series -- Schinzel's hypothesis -- The large sieve -- The upper-bound sieve -- Franel's theorem -- pt. II. The prime-number theorem. A modular relation -- The functional equations -- Hadamard's product formula --Zeros of [xi](s) -- Zeros of [xi](s, [chi]) -- The exceptional zero -- The prime-number theorem -- The prime-number theorem for an arithmetic progression -- pt. III. The necessary tools. A survey of sieves -- The hybrid sieve -- An approximate functional equation (I) -- An approximate functional equation (II) -- Fourth powers of L-functions -- pt. IV. Zeros and prime numbers. Ingham's theorem -- Bombierie's theorem -- I.M. Vinogradov's estimate -- I.M. Vinogradov's three-primes theorem -- Halász's method -- Gaps between prime numbers.
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| Subject
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Numbers, Prime.
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| Dewey Classification
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512/.73
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| LC Classification
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QA246.H88
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