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Record Nr. |
UNINA9910810153203321 |
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Autore |
Ralph Claire C. |
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Titolo |
Arithmetic differential operators over the p-adic integers / / Claire C. Ralph, Santiago R. Simanca [[electronic resource]] |
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Pubbl/distr/stampa |
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Cambridge : , : Cambridge University Press, , 2012 |
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ISBN |
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1-139-88774-2 |
1-139-08466-6 |
1-107-08994-8 |
1-107-10182-4 |
1-107-09621-9 |
1-107-10420-3 |
1-107-09312-0 |
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Descrizione fisica |
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1 online resource (vi, 139 pages) : digital, PDF file(s) |
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Collana |
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London Mathematical Society lecture note series ; ; 396 |
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Classificazione |
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Disciplina |
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Soggetti |
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Differential operators |
Arithmetic functions |
p-adic numbers |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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Title from publisher's bibliographic system (viewed on 05 Oct 2015). |
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Nota di bibliografia |
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Includes bibliographical references (p. 135-137) and index. |
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Nota di contenuto |
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The p-adic numbers Qp -- Some classical analysis on Qp -- The Artin-Hasse exponential function -- The completion of the algebraic closure of Qp -- Zeta functions -- Analytic functions on Zp -- Arithmetic differential operators on Zp -- A general view of arithmetic differential operators -- Analyticity of arithmetic differential operators -- Characteristic functions of discs in Zp: p-adic coordinates -- Characteristic functions of discs in Zp: harmonic coordinates -- Some differences between (Se(B-operators over Zp and Zur p. |
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Sommario/riassunto |
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The study of arithmetic differential operators is a novel and promising area of mathematics. This complete introduction to the subject starts with the basics: a discussion of p-adic numbers and some of the classical differential analysis on the field of p-adic numbers leading to |
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