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What connections are there between number theory and partial differential equations?

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This question is way too broad. Can you give some context? –  Stanley Yao Xiao Mar 30 '11 at 14:34
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This question is better for math.stackexchange.com unless it is sharpened. A sharpened question along these lines may have very interesting answers, though. Here's a paper for you, to give a taste of what's out there: math.byu.edu/~cardon/papers/EigenvaluesLaplacian.pdf –  Jon Bannon Mar 30 '11 at 14:44
    
May be something like p-adic differential equations may help.(?) –  Unknown Mar 30 '11 at 14:49
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In addition to Stanley Yao Xiao's suggestion, at best this question should be community wiki. –  Willie Wong Mar 30 '11 at 16:05
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closed as not a real question by Andy Putman, Willie Wong, Andres Caicedo, Todd Trimble, Bruce Westbury Mar 30 '11 at 16:53

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