Abstract:In this chapter, we discuss some effective bounds on the solutions of p-adic differential equations with nilpotent singularities. These come in two forms. We start by discussing bounds that make no re...In this chapter, we discuss some effective bounds on the solutions of p-adic differential equations with nilpotent singularities. These come in two forms. We start by discussing bounds that make no reference to a Frobenius structure; these are due to Christol, Dwork, and Robba. They could have been presented earlier, and indeed one was invoked in Chapter 13; we chose to postpone them until this point so that we could better contrast them with the bounds available in the presence of a Frobenius structure. The latter are original, though strongly inspired by some recent results of Chiarellotto and Tsuzuki.Read More
Publication Year: 2010
Publication Date: 2010-06-10
Language: en
Type: book-chapter
Indexed In: ['crossref']
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