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The p-adic Kummer–Leopoldt constant: Normalized p-adic regulator

The p-adic Kummer–Leopoldt constant: Normalized p-adic regulator

The p-adic Kummer--Leopoldt constant kappa\_K of a number field K is (assuming the Leopoldt conjecture) the least integer c such that for all n \textgreater{}\textgreater{} 0, any global unit of K, which is locally a p^(n+c)th power at the p-places, is necessarily the p^nth power of a global unit of …