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On the index of \(p\)-adic differential operators. I. (English) Zbl 0316.12102

MSC:
12H25 \(p\)-adic differential equations
11S80 Other analytic theory (analogues of beta and gamma functions, \(p\)-adic integration, etc.)
14G20 Local ground fields in algebraic geometry
34G99 Differential equations in abstract spaces
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