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Statistics has taken a more and more prominent role in our world. Arithmetic statistics concerns the average or limiting behavior of arithmetic objects. With the help of computers, we have produced vast amounts of data for these arithmetic objects, which exhibit a lot of random behavior. It is however often already a non-trivial task to develop heuristics for the random behavior of arithmetic objects, let alone actually prove randomness. The researcher will rigorously prove some of the available heuristics in several important cases.
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