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

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    Like [this](http://dx.doi.org/10.1016/j.jnt.2003.08.008)?2011-10-22
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    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.2011-10-22
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    What, a copy like [this](http://www.math.uci.edu/~dwan/doug.pdf)?2011-10-22
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    Yes. Thank you very much.2011-10-22
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    @J.M. perhaps combine your comments into an answer?2011-10-22
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    @lhf: Not having $p$-adic expertise, I think I'll let somebody else write a meatier answer. All I did was throw a few terms into Google Scholar...2011-10-22
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    @J.M., evidently that's more than OP did, so go for it.2011-10-23

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(due to insistent public demand)

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

Certainly!