## On natural radii of $p$-adic convergence

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- by B. Dwork and P. Robba PDF
- Trans. Amer. Math. Soc.
**256**(1979), 199-213 Request permission

## Abstract:

We study the radius of*p*-adic convergence of power series which represent algebraic functions. We apply the

*p*-adic theory of ordinary linear differential equations to show that the radius of convergence is the natural one, provided the degree of the function is less than

*p*. The study of similar questions for solutions of linear differential equations is indicated.

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## Additional Information

- © Copyright 1979 American Mathematical Society
- Journal: Trans. Amer. Math. Soc.
**256**(1979), 199-213 - MSC: Primary 12B40; Secondary 34A25
- DOI: https://doi.org/10.1090/S0002-9947-1979-0546915-9
- MathSciNet review: 546915