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Theory and applications of probability and stochastic processes: e.g. central limit theorems, large deviations, stochastic differential equations, models from statistical mechanics, queuing theory.

9 votes

Is there a simple way to compute the number of ways to write a positive integer as the sum o...

See Granville-Soundararajan, ``The distribution of values of L(1, \chi),'' for (whatever is known about) the distribution of r_3(n)/sqrt(n).
moonface's user avatar
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4 votes

Singularity of sparse random matrices

A couple of minutes of numerics tentatively suggests that there exists f=f(c) so that the corank/n approaches f(c) with probability 1. Curiously, in the very few examples I tried, f(c) seemed not to …
moonface's user avatar
  • 748