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- Expected optimal cancellation of mobius functions in short intervals, and what it means in terms of distribution of primes (relation to n-level density of zeros of riemann zeta?)
- Luo-Sarnak paper. How to understand the appearance of L(1/2)? Does one expect seeing L(1/2) in computing variance of a suitable equidistribution problem? Idea: this seems to be a way to show $L(1/2, pi) ge 0$. One idea is to show that for cuspidal representations of GL(3), L(1/2, pi) ge 0, by studying the variance of equidistribution of torus orbits in GL(3). Paul Nelson thinks it's hard to see L(1/2, pi) because back in GL(2) case one needs to use Watson's formula (not available in GL(3) case...? really?). Is there a
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