## Koblitz, Neal

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The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications.

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Recensione:

From the reviews of the second edition:

“In the second edition of this text, Koblitz presents a wide-ranging introduction to the theory of p-adic numbers and functions. … there are some really nice exercises that allow the reader to explore the material. … And with the exercises, the book would make a good textbook for a graduate course, provided the students have a decent background in analysis and number theory.” (Donald L. Vestal, The Mathematical Association of America, April, 2011)

Contenuti:

I p-adic numbers.- 1. Basic concepts.- 2. Metrics on the rational numbers.- Exercises.- 3. Review of building up the complex numbers.- 4. The field of p-adic numbers.- 5. Arithmetic in ?p.- Exercises.- II p-adic interpolation of the Riemann zeta-function.- 1. A formula for ?(2k).- 2. p-adic interpolation of the function f(s) = as.- Exercises.- 3. p-adic distributions.- Exercises.- 4. Bernoulli distributions.- 5. Measures and integration.- Exercises.- 6. The p-adic ?-function as a Mellin-Mazur transform.- 7. A brief survey (no proofs).- Exercises.- III Building up ?.- 1. Finite fields.- Exercises.- 2. Extension of norms.- Exercises.- 3. The algebraic closure of ?p.- 4. ?.- Exercises.- IV p-adic power series.- 1. Elementary functions.- Exercises.- 2. The logarithm, gamma and Artin-Hasse exponential functions.- Exercises.- 3. Newton polygons for polynomials.- 4. Newton polygons for power series.- Exercises.- V Rationality of the zeta-function of a set of equations over a finite field.- 1. Hypersurfaces and their zeta-functions.- Exercises.- 2. Characters and their lifting.- 3. A linear map on the vector space of power series.- 4. p-adic analytic expression for the zeta-function.- Exercises.- 5. The end of the proof.- Answers and Hints for the Exercises.

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Editore: Springer (1996)
ISBN 10: 0387960171 ISBN 13: 9780387960173
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Descrizione libro Springer, 1996. Soft cover. Condizione libro: New. Condizione sovraccoperta: New. 2nd Edition. **International edition** Read carefully before purchase: This book is the international edition in mint condition with the different ISBN and book cover design, the major content is printed in full English as same as the original North American edition. The book printed in black and white, generally send in twenty-four hours after the order confirmed. All shipments contain tracking numbers. Great professional textbook selling experience and expedite shipping service. Codice libro della libreria ABE-8342130613

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Descrizione libro Springer-Verlag New York Inc., United States, 1996. Hardback. Condizione libro: New. 2nd ed. 1984. Corr. 2nd printing 1996. 236 x 164 mm. Language: English . Brand New Book. The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications. Codice libro della libreria AAZ9780387960173

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Descrizione libro Springer-Verlag New York Inc., United States, 1996. Hardback. Condizione libro: New. 2nd ed. 1984. Corr. 2nd printing 1996. 236 x 164 mm. Language: English . Brand New Book. The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications. Codice libro della libreria AAZ9780387960173

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Descrizione libro Springer-Verlag New York Inc. 1996-04-11, New York, NY, 1996. hardback. Condizione libro: New. Codice libro della libreria 9780387960173

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## 5.P-adic Numbers, P-adic Analysis, and Zeta-functions: v. 58 (2nd ed. 1984. Corr. 2nd printing 1996)

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Descrizione libro Springer-Verlag New York Inc. Hardback. Condizione libro: new. BRAND NEW, P-adic Numbers, P-adic Analysis, and Zeta-functions: v. 58 (2nd ed. 1984. Corr. 2nd printing 1996), Neal Koblitz, The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-function, the rearrangement and addition of some exercises, the inclusion of an extensive appendix of answers and hints to the exercises, as well as numerous clarifications. Codice libro della libreria B9780387960173

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Descrizione libro Springer-Verlag New York Inc., 1996. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria GB-9780387960173

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Descrizione libro Springer-Verlag New York Inc., 1996. Condizione libro: New. This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints. Series: Graduate Texts in Mathematics. Num Pages: 153 pages, biography. BIC Classification: PBF; PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 160 x 15. Weight in Grams: 420. . 1996. 2nd. Hardcover. . . . . . Codice libro della libreria V9780387960173

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Descrizione libro Springer-Verlag New York Inc. Condizione libro: New. This work has become the standard introduction to the theory of p-adic numbers. The 2nd edition adds a deeper treatment of p-adic functions, including the Iwasawa logarithm and the p-adic gamma-function, plus new exercises and an appendix of answers and hints. Series: Graduate Texts in Mathematics. Num Pages: 153 pages, biography. BIC Classification: PBF; PBH. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 241 x 160 x 15. Weight in Grams: 420. . 1996. 2nd. Hardcover. . . . . Books ship from the US and Ireland. Codice libro della libreria V9780387960173

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Descrizione libro Hardback. Condizione libro: New. Not Signed; The first edition of this work has become the standard introduction to the theory of p-adic numbers at both the advanced undergraduate and beginning graduate level. This second edition includes a deeper treatment of p-adic functions in Ch. 4 to include the Iwasawa logarithm and the p-adic gamma-func. book. Codice libro della libreria ria9780387960173_rkm

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