Radii of convergence and index for $p$-adic differential operators
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- by Paul Thomas Young PDF
- Trans. Amer. Math. Soc. 333 (1992), 769-785 Request permission
Abstract:
We study the radii of $p$-adic convergence of solutions at a generic point of homogeneous linear differential operators whose coefficients are analytic elements. As an application we prove a conjecture of P. Robba (for a certain class of operators) concerning the relation between radii of convergence and index on analytic elements. We also give an explicit factorization theorem for $p$-adic differential operators, based on the radii of generic convergence and the slopes of the associated Newton polygon.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 333 (1992), 769-785
- MSC: Primary 12H25; Secondary 11S80
- DOI: https://doi.org/10.1090/S0002-9947-1992-1066451-X
- MathSciNet review: 1066451