On ordinary linear 𝑝-adic differential equations

Dwork, B.; Robba, P.

doi:10.1090/S0002-9947-1977-0447247-8

On ordinary linear $p$-adic differential equations
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Trans. Amer. Math. Soc. 231 (1977), 1-46 Request permission

Abstract:

We study the solutions of ordinary linear differential equations whose coefficients are analytic elements. As one application we show nonexistence of index for certain linear differential operators with rational function coefficients.

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