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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

On ordinary linear $ p$-adic differential equations


Authors: B. Dwork and P. Robba
Journal: Trans. Amer. Math. Soc. 231 (1977), 1-46
MSC: Primary 14G20
DOI: https://doi.org/10.1090/S0002-9947-1977-0447247-8
MathSciNet review: 0447247
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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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DOI: https://doi.org/10.1090/S0002-9947-1977-0447247-8
Keywords: Nonarchimedean valuation, completion field, analytic element, analytic function, generic disk, differential equation
Article copyright: © Copyright 1977 American Mathematical Society