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020 _a9781107096219
020 _a1107096219
020 _a9781107089945
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020 _a1107089948
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020 _a1299707351
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035 _a(OCoLC)793359427
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084 _aSK 620
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049 _aMAIN
245 0 0 _aArithmetic Differential Operators over the p-adic Integers /
_cClaire C. Ralph, Santiago R. Simanca.
260 _aCambridge :
_bCambridge University Press,
_c2012.
300 _a1 online resource (146 pages)
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
490 1 _aLondon Mathematical Society Lecture Note Series ;
_vno. 396
500 _aTitle from publishers bibliographic system (viewed 15 Feb 2012).
520 _aA complete and accessible introduction to the study of arithmetic differential operators over the p-adic integers.
505 0 _6880-01
_aCover; 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 _a9.2 Analytic functions and arithmetic differential operators10 Some differences between arithmetic differential operators over Zp and Zurp; References; Index.
504 _aIncludes bibliographical references (pages 135-137) and index.
546 _aEnglish.
590 _aAdded to collection customer.56279.3
650 0 _aDifferential operators.
_970346
650 0 _aArithmetic functions.
_94584
650 0 _ap-adic numbers.
_970997
650 6 _aOpérateurs différentiels.
_970347
650 6 _aFonctions arithmétiques.
_975581
650 6 _aNombres p-adiques.
_973842
650 7 _aMATHEMATICS
_xFunctional Analysis.
_2bisacsh
_914274
650 0 7 _aFunciones aritméticas
_2embucm
_91016392
650 0 7 _aAnálisis p-adico
_2embucm
_9974015
650 7 _aArithmetic functions
_2fast
_94584
650 7 _aDifferential operators
_2fast
_970346
650 7 _ap-adic numbers
_2fast
_970997
650 7 _aDifferentialoperator
_2gnd
_970450
650 7 _ap-adische Zahl
_2gnd
_974418
700 1 _aRalph, Claire C.
_9632774
700 1 _aSimanca, S. R.
_q(Santiago R.)
_9632775
776 0 8 _iPrint version:
_z9781107674141
830 0 _aLondon Mathematical Society lecture note series ;
_vno. 396.
_9322367
856 4 0 _3EBSCOhost
_uhttps://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=569368
880 8 _6505-01/(S
_a6 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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