Is there a $p$-adic version of the Riemann hypothesis?

Is there a $p$-adic version of the Riemann hypothesis or this does not make any sense?

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Like this? –  Guess who it is. Oct 22 '11 at 13:23
Yes. Can we hope for a motivic analogue too? By the way I can't buy the article, I don't know if you have a copy. –  user17090 Oct 22 '11 at 13:44
What, a copy like this? –  Guess who it is. Oct 22 '11 at 13:47
@J.M. perhaps combine your comments into an answer? –  lhf Oct 22 '11 at 15:01
@J.M., evidently that's more than OP did, so go for it. –  Gerry Myerson Oct 23 '11 at 6:21

(due to insistent public demand)

Is there a $p$-adic version of the Riemann hypothesis?

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