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Titlebook: p-adic Numbers, p-adic Analysis, and Zeta-Functions; Neal Koblitz Textbook 1984Latest edition Springer Science+Business Media New York 198

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书目名称p-adic Numbers, p-adic Analysis, and Zeta-Functions
编辑Neal Koblitz
视频video
丛书名称Graduate Texts in Mathematics
图书封面Titlebook: p-adic Numbers, p-adic Analysis, and Zeta-Functions;  Neal Koblitz Textbook 1984Latest edition Springer Science+Business Media New York 198
描述Neal Koblitz was a student of Nicholas M. Katz, under whom he received his Ph.D. in mathematics at Princeton in 1974. He spent the year 1974 -75 and the spring semester 1978 in Moscow, where he did research in p -adic analysis and also translated Yu. I. Manin‘s "Course in Mathematical Logic" (GTM 53). He taught at Harvard from 1975 to 1979, and since 1979 has been at the University of Washington in Seattle. He has published papers in number theory, algebraic geometry, and p-adic analysis, and he is the author of "p-adic Analysis: A Short Course on Recent Work" (Cambridge University Press and GTM 97: "Introduction to Elliptic Curves and Modular Forms (Springer-Verlag).
出版日期Textbook 1984Latest edition
关键词Algebra; Analysis; Functions; Numbers; Zetafunktion; calculus; finite field; number theory; p-adische Analys
版次2
doihttps://doi.org/10.1007/978-1-4612-1112-9
isbn_softcover978-1-4612-7014-0
isbn_ebook978-1-4612-1112-9Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer Science+Business Media New York 1984
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978-1-4612-7014-0Springer Science+Business Media New York 1984
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-adic numbers,If . is a nonempty set, a distance, or ., on . is a function . from pairs of elements (., .) of . to the nonnegative real numbers such that.A set . together with a metric . is called a .. The same set . can give rise to many different metric spaces (.), as we’ll soon see.
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,Building up Ω,In what follows, we’ll have to assume familiarity with a few basic notions concerning algebraic extensions of fields. It would take us too far afield to review all the proofs; for a complete and readable treatment, see Lang’s . or Herstein’s ..
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