عنوان

The distribution of prime numbers :

019853518X

9780198535188

b534180

The distribution of prime numbers :

[Book]

large sieves and zero-density theorems /

by M.N. Huxley.

Oxford :

Clarendon Press,

1972.

x, 128 p. :

ill. ;

24 cm.

Oxford mathematical monographs

Bibliography: p. [124]-125.

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.

0

Distribution of prime numbers: large sieves and zero-density theorems.

Numbers, Prime.

Huxley, M. N., (Martin Neil)

20120908041101.0

[Book]

Y