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On a trivial zero problem. (English) Zbl 1122.11073

Summary: One trivial zero phenomenon for \(p\)-adic analytic function is considered. We then prove that the first derivative of this function is essentially the Kummer class associated with \(p\).

MSC:

11R23 Iwasawa theory
11S23 Integral representations
11S40 Zeta functions and \(L\)-functions
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