Just a friendly reminder that the JC is today at 3:35 in Ayres 111 (pizza
at 3:15 in Ayres 4th floor). It isn't often that you can hear a talk at
the undergraduate level by someone for the Institute for Advanced Study at
Princeton, so I hope many of you can find the time to come hear the talkŠ



>                       Junior Colloquium Today!
>                  
>                   Thursday April 12, 2012, 3:35 pm
>                  
>                          * * * * * * * *
>
>       *** Please note that the talk will now be in Ayres 111 ***
> 
>           *** Pizza as usual at 3:15 pm, Ayres 4th floor ***
>
>
>                          All are welcome!
>
>                          * * * * * * * *
>
>       Dr. Daniel Fiorilli, Princeton Institute for Advanced Study
>
>
>
>                     Races between prime numbers
>
>  In a 1853 letter to Fuss, Chebyshev made the remark that there seem
>  to be more primes of the form 4n+3 than of the form 4n+1. If we compute
>  the (normalized) difference between these two kinds of primes up to x,
>  and make a graph of this quantity with x varying, then we get the figure
>  which is shown here. What one remarks is that the difference is almost
>  always positive, confirming Chebyshev's assertion. Interestingly, the
>  statement in Chebyshev's letter is equivalent to the Riemann hypothesis
>  for a certain zeta function; in fact the whole subject of prime number
>  races is highly dependent on the zeros of zeta functions. The goal of
>  the present talk will be to give a taste of the subject, focusing on
>  the amusing facts.


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