Arithmetic Differential Operators over the p-adic Integers /:
A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge :
Cambridge University Press,
2012.
|
| Schriftenreihe: | London Mathematical Society lecture note series ;
no. 396. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers. |
| Beschreibung: | Title from publishers bibliographic system (viewed 15 Feb 2012). |
| Beschreibung: | 1 online resource (146 pages) |
| Bibliographie: | Includes bibliographical references (pages 135-137) and index. |
| ISBN: | 9781139084666 1139084666 9781107674141 110767414X 9781107096219 1107096219 9781107089945 1107089948 1299707351 9781299707351 9781107101821 1107101824 |
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| 245 | 0 | 0 | |a Arithmetic Differential Operators over the p-adic Integers / |c Claire C. Ralph, Santiago R. Simanca. |
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| 490 | 1 | |a London Mathematical Society Lecture Note Series ; |v no. 396 | |
| 500 | |a Title from publishers bibliographic system (viewed 15 Feb 2012). | ||
| 520 | |a A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers. | ||
| 505 | 0 | |6 880-01 |a Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I. | |
| 505 | 8 | |a 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index. | |
| 504 | |a Includes bibliographical references (pages 135-137) and index. | ||
| 546 | |a English. | ||
| 650 | 0 | |a Differential operators. |0 http://id.loc.gov/authorities/subjects/sh85037921 | |
| 650 | 0 | |a Arithmetic functions. |0 http://id.loc.gov/authorities/subjects/sh85007174 | |
| 650 | 0 | |a p-adic numbers. |0 http://id.loc.gov/authorities/subjects/sh85096402 | |
| 650 | 6 | |a Opérateurs différentiels. | |
| 650 | 6 | |a Fonctions arithmétiques. | |
| 650 | 6 | |a Nombres p-adiques. | |
| 650 | 7 | |a MATHEMATICS |x Functional Analysis. |2 bisacsh | |
| 650 | 0 | 7 | |a Funciones aritméticas |2 embucm |
| 650 | 0 | 7 | |a Análisis p-adico |2 embucm |
| 650 | 7 | |a Arithmetic functions |2 fast | |
| 650 | 7 | |a Differential operators |2 fast | |
| 650 | 7 | |a p-adic numbers |2 fast | |
| 650 | 7 | |a Differentialoperator |2 gnd |0 http://d-nb.info/gnd/4012251-7 | |
| 650 | 7 | |a p-adische Zahl |2 gnd |0 http://d-nb.info/gnd/4044292-5 | |
| 700 | 1 | |a Ralph, Claire C. | |
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| 880 | 8 | |6 505-01/(S |a 6 A general view of arithmetic differential operators6.1 Basic algebraic concepts; 6.2 General δp-functions: arithmetic jet spaces; 6.3 The analogue of a δp-linear operators for group schemes; 6.4 Multiple primes II; 7 Analyticity of arithmetic differential operators; 8 Characteristic functions of discs in Zp: p-adic coordinates; 8.1 Characteristic functions of discs of radii 1/p; 8.2 Characteristic functions of discs of radii 1/pn; 9 Characteristic functions of discs in Zp: harmonic arithmetic coordinates; 9.1 A matrix associated to pm. | |
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Datensatz im Suchindex
| DE-BY-FWS_katkey | ZDB-4-EBA-ocn793359427 |
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| _version_ | 1816881794200371200 |
| adam_text | |
| any_adam_object | |
| author2 | Ralph, Claire C. Simanca, S. R. (Santiago R.) |
| author2_role | |
| author2_variant | c c r cc ccr s r s sr srs |
| author_GND | http://id.loc.gov/authorities/names/n90631743 |
| author_facet | Ralph, Claire C. Simanca, S. R. (Santiago R.) |
| author_sort | Ralph, Claire C. |
| building | Verbundindex |
| bvnumber | localFWS |
| callnumber-first | Q - Science |
| callnumber-label | QA241 |
| callnumber-raw | QA241 .R25 2012 |
| callnumber-search | QA241 .R25 2012 |
| callnumber-sort | QA 3241 R25 42012 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 320 SK 540 SK 620 |
| classification_tum | MAT 123f |
| collection | ZDB-4-EBA |
| contents | Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I. 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index. |
| ctrlnum | (OCoLC)793359427 |
| dewey-full | 512.74 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.74 |
| dewey-search | 512.74 |
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| discipline | Mathematik |
| format | Electronic eBook |
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| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:18:22Z |
| institution | BVB |
| isbn | 9781139084666 1139084666 9781107674141 110767414X 9781107096219 1107096219 9781107089945 1107089948 1299707351 9781299707351 9781107101821 1107101824 |
| language | English |
| oclc_num | 793359427 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (146 pages) |
| psigel | ZDB-4-EBA |
| publishDate | 2012 |
| publishDateSearch | 2012 |
| publishDateSort | 2012 |
| publisher | Cambridge University Press, |
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| series | London Mathematical Society lecture note series ; |
| series2 | London Mathematical Society Lecture Note Series ; |
| spelling | Arithmetic Differential Operators over the p-adic Integers / Claire C. Ralph, Santiago R. Simanca. Cambridge : Cambridge University Press, 2012. 1 online resource (146 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier London Mathematical Society Lecture Note Series ; no. 396 Title from publishers bibliographic system (viewed 15 Feb 2012). A complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers. 880-01 Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I. 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index. Includes bibliographical references (pages 135-137) and index. English. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 p-adic numbers. http://id.loc.gov/authorities/subjects/sh85096402 Opérateurs différentiels. Fonctions arithmétiques. Nombres p-adiques. MATHEMATICS Functional Analysis. bisacsh Funciones aritméticas embucm Análisis p-adico embucm Arithmetic functions fast Differential operators fast p-adic numbers fast Differentialoperator gnd http://d-nb.info/gnd/4012251-7 p-adische Zahl gnd http://d-nb.info/gnd/4044292-5 Ralph, Claire C. Simanca, S. R. (Santiago R.) http://id.loc.gov/authorities/names/n90631743 has work: Arithmetic differential operators over the p-adic integers (Text) https://id.oclc.org/worldcat/entity/E39PCFxHgkMMVxJTKDKp4fQdDC https://id.oclc.org/worldcat/ontology/hasWork Print version: 9781107674141 London Mathematical Society lecture note series ; no. 396. http://id.loc.gov/authorities/names/n42015587 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569368 Volltext 505-01/(S 6 A general view of arithmetic differential operators6.1 Basic algebraic concepts; 6.2 General δp-functions: arithmetic jet spaces; 6.3 The analogue of a δp-linear operators for group schemes; 6.4 Multiple primes II; 7 Analyticity of arithmetic differential operators; 8 Characteristic functions of discs in Zp: p-adic coordinates; 8.1 Characteristic functions of discs of radii 1/p; 8.2 Characteristic functions of discs of radii 1/pn; 9 Characteristic functions of discs in Zp: harmonic arithmetic coordinates; 9.1 A matrix associated to pm. |
| spellingShingle | Arithmetic Differential Operators over the p-adic Integers / London Mathematical Society lecture note series ; Cover; Series Page; Title; Copyright; Contents; 1 Introduction; 2 The p-adic numbers Qp; 2.1 A pragmatic realization of Qp; 2.2 The p-adic integers Zp and their field of fractions; 2.3 The topology of Qp; 2.4 Analytic and algebraic properties of Qp; 2.5 (p − 1)-roots of unity in Qp; 3 Some classical analysis on Qp; 3.1 The Artin-Hasse exponential function; 3.2 The completion of the algebraic closure of Qp; 3.3 Zeta functions; 4 Analytic functions on Zp; 4.1 Strassmann's theorem; 5 Arithmetic differential operators on Zp; 5.1 Multiple primes I. 9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index. Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 p-adic numbers. http://id.loc.gov/authorities/subjects/sh85096402 Opérateurs différentiels. Fonctions arithmétiques. Nombres p-adiques. MATHEMATICS Functional Analysis. bisacsh Funciones aritméticas embucm Análisis p-adico embucm Arithmetic functions fast Differential operators fast p-adic numbers fast Differentialoperator gnd http://d-nb.info/gnd/4012251-7 p-adische Zahl gnd http://d-nb.info/gnd/4044292-5 |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85037921 http://id.loc.gov/authorities/subjects/sh85007174 http://id.loc.gov/authorities/subjects/sh85096402 http://d-nb.info/gnd/4012251-7 http://d-nb.info/gnd/4044292-5 |
| title | Arithmetic Differential Operators over the p-adic Integers / |
| title_auth | Arithmetic Differential Operators over the p-adic Integers / |
| title_exact_search | Arithmetic Differential Operators over the p-adic Integers / |
| title_full | Arithmetic Differential Operators over the p-adic Integers / Claire C. Ralph, Santiago R. Simanca. |
| title_fullStr | Arithmetic Differential Operators over the p-adic Integers / Claire C. Ralph, Santiago R. Simanca. |
| title_full_unstemmed | Arithmetic Differential Operators over the p-adic Integers / Claire C. Ralph, Santiago R. Simanca. |
| title_short | Arithmetic Differential Operators over the p-adic Integers / |
| title_sort | arithmetic differential operators over the p adic integers |
| topic | Differential operators. http://id.loc.gov/authorities/subjects/sh85037921 Arithmetic functions. http://id.loc.gov/authorities/subjects/sh85007174 p-adic numbers. http://id.loc.gov/authorities/subjects/sh85096402 Opérateurs différentiels. Fonctions arithmétiques. Nombres p-adiques. MATHEMATICS Functional Analysis. bisacsh Funciones aritméticas embucm Análisis p-adico embucm Arithmetic functions fast Differential operators fast p-adic numbers fast Differentialoperator gnd http://d-nb.info/gnd/4012251-7 p-adische Zahl gnd http://d-nb.info/gnd/4044292-5 |
| topic_facet | Differential operators. Arithmetic functions. p-adic numbers. Opérateurs différentiels. Fonctions arithmétiques. Nombres p-adiques. MATHEMATICS Functional Analysis. Funciones aritméticas Análisis p-adico Arithmetic functions Differential operators p-adic numbers Differentialoperator p-adische Zahl |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=569368 |
| work_keys_str_mv | AT ralphclairec arithmeticdifferentialoperatorsoverthepadicintegers AT simancasr arithmeticdifferentialoperatorsoverthepadicintegers |