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P-adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46) (Volume 0) - Softcover
Book 44 of 387: London Mathematical Society Lecture Notes
Synopsis
This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research.
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Book Description
An introduction to recent work in the theory of numbers and its interrelation with algebraic geometry and analysis.
"About this title" may belong to another edition of this title.
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P-adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46) (Volume 0)
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ISBN 10: 0521280605
ISBN 13: 9780521280600
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P-adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series)
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ISBN 10: 0521280605
ISBN 13: 9780521280600
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P-Adic Analysis : A Short Course on Recent Work
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P-Adic Analysis
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P-adic Analysis: A Short Course on Recent Work (London Mathematical Society Lecture Note Series, Series Number 46) (Volume 0)
Published by
Cambridge University Press, 1980
ISBN 10: 0521280605
ISBN 13: 9780521280600
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P-Adic Analysis
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P-adic Analysis
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ISBN 13: 9780521280600
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Paperback. Condition: New. This introduction to recent work in p-adic analysis and number theory will make accessible to a relatively general audience the efforts of a number of mathematicians over the last five years. After reviewing the basics (the construction of p-adic numbers and the p-adic analog of the complex number field, power series and Newton polygons), the author develops the properties of p-adic Dirichlet L-series using p-adic measures and integration. p-adic gamma functions are introduced, and their relationship to L-series is explored. Analogies with the corresponding complex analytic case are stressed. Then a formula for Gauss sums in terms of the p-adic gamma function is proved using the cohomology of Fermat and Artin-Schreier curves. Graduate students and research workers in number theory, algebraic geometry and parts of algebra and analysis will welcome this account of current research. Seller Inventory # LU-9780521280600
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p-adic analysis a short course on recent work Neal Koblitz. Lecture note series 46.
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P-adic Analysis
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P-Adic Analysis
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