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Variance, and Its Connection with Quadratic Fields

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Probabilistic Diophantine Approximation

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Abstract

It is a rule of thumb in probability theory that if we have a random variable, then it is a good idea to know the expectation and the variance. This is particularly true when we need to prove a central limit theorem, since these parameters—the expectation and the variance—both show up in the statement itself.

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References

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  4. Zagier, D.B.: Zeta-funktionen und quadratische Körper, Hochschultext, Springer 1981.

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Beck, J. (2014). Variance, and Its Connection with Quadratic Fields. In: Probabilistic Diophantine Approximation. Springer Monographs in Mathematics. Springer, Cham. https://doi.org/10.1007/978-3-319-10741-7_3

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