Document Type
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BL
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Record Number
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743958
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Doc. No
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b563907
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Main Entry
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von Christoph Walther ; herausgegeben von Wolfgang Bibel.
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Title & Author
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Automatisierung von Terminierungsbeweisen\ von Christoph Walther ; herausgegeben von Wolfgang Bibel.
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Publication Statement
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Wiesbaden : Vieweg+Teubner Verlag, 1991
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Series Statement
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Artificial Intelligence / Künstliche Intelligenz.
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ISBN
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3322854043
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: 3528047712
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: 9783322854049
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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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