[PDF.60op] Lectures on p-adic Differential Equations (Grundlehren der mathematischen Wissenschaften)

Lectures on p-adic Differential Equations (Grundlehren der mathematischen Wissenschaften)

[PDF.xq18] Lectures on p-adic Differential Equations (Grundlehren der mathematischen Wissenschaften)

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 | #4480134 in Books |  1982-11-08 | Original language:English | PDF # 1 |  .0 x.0 x.0l,.0 | File type: PDF | 310 pages

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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...

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