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P-adic analysis: a short course on recent work
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 f...
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Lenguaje: | eng |
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Cambridge University Press
1980
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Acceso en línea: | http://cds.cern.ch/record/1619153 |
_version_ | 1780932981708292096 |
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author | Koblitz, Neal |
author_facet | Koblitz, Neal |
author_sort | Koblitz, Neal |
collection | CERN |
description | 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. |
id | cern-1619153 |
institution | Organización Europea para la Investigación Nuclear |
language | eng |
publishDate | 1980 |
publisher | Cambridge University Press |
record_format | invenio |
spelling | cern-16191532021-04-21T21:56:36Zhttp://cds.cern.ch/record/1619153engKoblitz, NealP-adic analysis: a short course on recent workMathematical Physics and Mathematics 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. Cambridge University Pressoai:cds.cern.ch:16191531980 |
spellingShingle | Mathematical Physics and Mathematics Koblitz, Neal P-adic analysis: a short course on recent work |
title | P-adic analysis: a short course on recent work |
title_full | P-adic analysis: a short course on recent work |
title_fullStr | P-adic analysis: a short course on recent work |
title_full_unstemmed | P-adic analysis: a short course on recent work |
title_short | P-adic analysis: a short course on recent work |
title_sort | p-adic analysis: a short course on recent work |
topic | Mathematical Physics and Mathematics |
url | http://cds.cern.ch/record/1619153 |
work_keys_str_mv | AT koblitzneal padicanalysisashortcourseonrecentwork |