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The distribution of prime numbers : large sieves and zero-density theorems / by M.N. Huxley.


Oxford : Clarendon Press, 1972.
ISBN 9780198535188, 019853518X

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Subjects Nombres premiers.
Numbers, Prime.
Primzahl.
Primzahlverteilung.
Teoria Dos Numeros.
Verteilung.
Series Oxford mathematical monographs.
Description x, 128 pages : illustrations ; 24 cm.
Copyright Date 1972.
Notes Includes bibliographical references (pages 124-125).
Contents 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 -- part 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 -- part 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 -- part 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.
Network Numbers (OCoLC)624281
(OCoLC)ocm00624281
WorldCat Search OCLC WorldCat
WorldCat Identities Huxley, M. N.
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