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On the radius of convergence of the <i>p</i>-adic <i>L</i>-function

On the radius of convergence of the <i>p</i>-adic <i>L</i>-function

In their paper [11], Kubota-Leopoldt constructed the p -adic L -function L p ( s ; χ ) for each Dirichlet character χ . This function L p ( s ; χ ) is a mero-morphic function on the open dies {|s − 1| &lt; |&lt;q -1 p 1/(p-1) |} …