Lectures On P-Adic Differential Equations-..
R$ 912,92
até
4x
de
R$ 228,23
sem juros
ou R$ 867,27
via Pix
Adicionar ao carrinho
Disponibilidade: 45 dias úteis
Estoque: 195 unidades
-
- 1x de R$ 912,92 sem juros
- 2x de R$ 456,46 sem juros
- 3x de R$ 304,30 sem juros
- 4x de R$ 228,23 sem juros
-
R$ 867,27
-
R$ 912,92
The present work treats p-adic properties of solutions of the hypergeometric differential equation d2 d ( x(l - x) dx + (c(l - x) + (c - 1 - a - b)x) dx - ab)y = 0, 2 with a, b, c in 4) n Zp, by constructing the associated Frobenius structure. For this construction we draw upon the methods of Alan Adolphson [1] in his 1976 work on Hecke polynomials. We are also indebted to him for the account (appearing as an appendix) of the relation between this differential equation and certain L-functions. We are indebted to G. Washnitzer for the method used in the construction of our dual theory (Chapter 2). These notes represent an expanded form of lectures given at the U. L. P. in Strasbourg during the fall term of 1980. We take this opportunity to thank Professor R. Girard and IRMA for their hospitality. Our subject-p-adic analysis-was founded by Marc Krasner. We take pleasure in dedicating this work to him. Contents 1 Introduction . . . . . . . . . . 1. The Space L (Algebraic Theory) 8 2. Dual Theory (Algebraic) 14 3. Transcendental Theory . . . . 33 4. Analytic Dual Theory. . . . . 48 5. Basic Properties of", Operator. 73 6. Calculation Modulo p of the Matrix of f, h 92 7. Hasse Invariants . . . . . . 108 8. The a --+ a' Map . . . . . . . . . . . . 110 9. Normalized Solution Matrix. . . . . .. 113 10. Nilpotent Second-Order Linear Differential Equations with Fuchsian Singularities. . . . . . . . . . . . . 137 11. Second-Order Linear Differential Equations Modulo Powers ofp ..... .
| ISBN | 9781461381952 |
| Autor(a) | Dwork, Bernard |
| Editora | Springer Publishing |
| Ano de edição | 2011 |
| Páginas | 310 |
| Acabamento | Brochura |
| Dimensões | 23,40 X 15,60 |
Produtos relacionados
-
Differential Equations-..R$ 165,59R$ 132,47até 2x de R$ 66,23 sem jurosou R$ 125,85 via Pix20% Desconto -
Impulsive Differential Equations-..R$ 763,52R$ 610,82até 4x de R$ 152,70 sem jurosou R$ 580,28 via Pix20% Desconto -
Partial Differential Equations-..R$ 132,39R$ 105,91até 2x de R$ 52,95 sem jurosou R$ 100,61 via Pix20% Desconto
Categorias
Pague com
Selos
MYRE EDITORA, COMERCIALIZADORA, IMPORTADORA E DISTRIBUIDORA LTDA - CNPJ: 50.295.718/0001-20 © Todos os direitos reservados. 2026
