Arithmetic differential operators over the p-adic integers:
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| Main Authors: | , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Cambridge [u.a.]
Cambridge Univ. Press
2012
|
| Edition: | 1. publ. |
| Series: | London mathematical society lecture note series
396 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | VI, 139 S. |
| ISBN: | 9781107674141 |
Staff View
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Record in the Search Index
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| adam_text | Titel: Arithmetic differential operators over the p-adic integers
Autor: Ralph, Claire C
Jahr: 2012
Contents 1 Introduction page 1 2 The p-adic numbers Q p 8 2.1 A pragmatic realization of Q p 11 2.2 The p-adic integers Z p and their field of fractions 13 2.3 The topology of Q p 15 2.4 Analytic and algebraic properties of Q p 17 2.5 (p — l)-roots of unity in Q p 20 3 Some classical analysis on Q p 23 3.1 The Artin-Hasse exponential function 30 3.2 The completion of the algebraic closure of Q p 33 3.3 Zeta functions 38 4 Analytic functions on Z p 48 4.1 Strassmann’s theorem 53 5 Arithmetic differential operators on Z p 55 5.1 Multiple primes I 61 6 A general view of arithmetic differential operators 65 6.1 Basic algebraic concepts 67 6.2 General 5 p -functions: arithmetic jet spaces 73 6.3 The analogue of a 5 p -linear operators for group schemes 82 6.4 Multiple primes II 86 7 Analyticity of arithmetic differential operators 103 8 Characteristic functions of discs in Z p : p-adic coordinates 107 8.1 Characteristic functions of discs of radii 1/p 107 8.2 Characteristic functions of discs of radii l/pâ€
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| any_adam_object | 1 |
| author | Ralph, Claire C. Simanca, Santiago R. |
| author_GND | (DE-588)1034403702 (DE-588)1034404067 |
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| author_sort | Ralph, Claire C. |
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| dewey-full | 515.7242 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.7242 |
| dewey-search | 515.7242 |
| dewey-sort | 3515.7242 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 1. publ. |
| format | Book |
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| publishDate | 2012 |
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| spelling | Ralph, Claire C. Verfasser (DE-588)1034403702 aut Arithmetic differential operators over the p-adic integers Claire C. Ralph ; Santiago R. Simanca 1. publ. Cambridge [u.a.] Cambridge Univ. Press 2012 VI, 139 S. txt rdacontent n rdamedia nc rdacarrier London mathematical society lecture note series 396 Differentialoperator (DE-588)4012251-7 gnd rswk-swf p-adische Zahl (DE-588)4044292-5 gnd rswk-swf Differentialoperator (DE-588)4012251-7 s p-adische Zahl (DE-588)4044292-5 s DE-604 Simanca, Santiago R. Verfasser (DE-588)1034404067 aut London mathematical society lecture note series 396 (DE-604)BV000000130 396 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024756463&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Ralph, Claire C. Simanca, Santiago R. Arithmetic differential operators over the p-adic integers London mathematical society lecture note series Differentialoperator (DE-588)4012251-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| subject_GND | (DE-588)4012251-7 (DE-588)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 | Differentialoperator (DE-588)4012251-7 gnd p-adische Zahl (DE-588)4044292-5 gnd |
| topic_facet | Differentialoperator p-adische Zahl |
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