Lectures on P-adic Differential Equations |
Contents
The Space L Algebraic Theory | 1 |
Dual Theory Algebraic | 14 |
Transcendental Theory | 33 |
Copyright | |
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a₁ a₂ algebraic analytic continuation analytic element analytic function annulus assertion assume B₁ b₂ bounded Chapter coefficients completes the proof completes the verification compute conclude condition converges Corollary critical annulus D(zo D₁ deduce defined denote differential equations Dwork endomorphism factor follows Frobenius gamma function gauss hence hypothesis implies k₁ k₂ L-function L₂ Laurent series Lemma lies M₁ mapping Math mod pQo mod pW modulo Newton polygon nontrivial notation obtain operator ord f(x p-adic analytic P₁ poles power series rational function residue class resp right side Robba root of unity satisfies shows singular solution matrix solutions mod T₁ Theorem u₁ u₂ unique v₁ write Y₁ zero αλ ΑΡ λχ Ολ χλ