Articoli correlati a p-adic Numbers, p-adic Analysis, and Zeta-Functions
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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 My treatment is based on Mazur's Bourbaki notes (unpublished).
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P-Adic Numbers, P-Adic Analysis, and Zeta-Functions
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Hardback. Condizione: Good. 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). Codice articolo 00109229481
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P-Adic Numbers, P-Adic Analysis, and Zeta-Functions
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Hardback. Condizione: Good. 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). Codice articolo CIN0387902740G
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p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics, 58)
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P-adic numbers, p-adic analysis, and zeta-functions (Graduate texts in mathematics)
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p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics, 58)
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p-adic Numbers, p-adic Analysis, and Zeta-Functions (Graduate Texts in Mathematics, 58) Neal Koblitz
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