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Titlebook: p-adic Numbers, p-adic Analysis, and Zeta-Functions; Neal Koblitz Textbook 19771st edition Springer-Verlag, New York Inc. 1977 Analysis.Ca

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發(fā)表于 2025-3-21 19:06:06 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書(shū)目名稱(chēng)p-adic Numbers, p-adic Analysis, and Zeta-Functions
編輯Neal Koblitz
視頻videohttp://file.papertrans.cn/765/764609/764609.mp4
叢書(shū)名稱(chēng)Graduate Texts in Mathematics
圖書(shū)封面Titlebook: p-adic Numbers, p-adic Analysis, and Zeta-Functions; Neal Koblitz Textbook 19771st edition Springer-Verlag, New York Inc. 1977 Analysis.Ca
描述These lecture notes are intended as an introduction to p-adic analysis on the elementary level. For this reason they presuppose as little background as possi- ble. Besides about three semesters of calculus, I presume some slight exposure to more abstract mathematics, to the extent that the student won‘t have an adverse reaction to matrices with entries in a field other than the real numbers, field extensions of the rational numbers, or the notion of a continuous map of topolog- ical spaces. The purpose of this book is twofold: to develop some basic ideas of p-adic analysis, and to present two striking applications which, it is hoped, can be as effective pedagogically as they were historically in stimulating interest in the field. The first of these applications is presented in Chapter II, since it only requires the most elementary properties of Q ; this is Mazur‘s construction by p means of p-adic integration of the Kubota-Leopoldtp-adic zeta-function, which "p-adically interpolates" the values of the Riemann zeta-function at the negative odd integers. My treatment is based on Mazur‘s Bourbaki notes (unpublished).
出版日期Textbook 19771st edition
關(guān)鍵詞Analysis; Calc; Functions; Numbers; Zetafunktion; algebra; calculus; construction; field; function; integratio
版次1
doihttps://doi.org/10.1007/978-1-4684-0047-2
isbn_ebook978-1-4684-0047-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
issn_series 0072-5285
copyrightSpringer-Verlag, New York Inc. 1977
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Neal Koblitztabsprachen und Fusionen. So wichtig die Vorschriften im EG-Vertrag zum Kartellrecht sind, so wenig sind bislang deren historische Wurzeln untersucht worden. Dies h?ngt damit zusammen, da? die Archive der Europ?ischen Gemeinschaften bis 1983 nicht zug?nglich waren. Erst mit der ?ffnung der Archive l
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,-adic interpolation of the Riemann zeta-function,This chapter is logically independent of the following chapters, and is presented at this point in the middle of our ascent to Ω as a plateau in the level of abstraction—namely, everything in this chapter still takes place in the fields ?, ?., and ?.
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發(fā)表于 2025-3-22 16:48:54 | 只看該作者
Building up ,,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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p-adic Numbers, p-adic Analysis, and Zeta-Functions978-1-4684-0047-2Series ISSN 0072-5285 Series E-ISSN 2197-5612
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