Mazur–Rubin's central limit conjecture for modular symbols
Mazur–Rubin's central limit conjecture for modular symbols
Let , let tend to infinity through positive integers satisfying , where divides , and let range over . Let and be the variance slope and variance shift from the preceding variance conjecture. Mazur–Rubin's central limit conjecture. The limiting distribution of the data
is the standard normal distribution. This is the conjectured normal distribution for modular symbols at fixed level gcd class; the supplied text gives no resolution status.
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Sources & referencesView supporting material
Primary source
Petru Constantinescu, “Distribution of modular symbols in H^3”, arXiv:2005.07629 (2020).
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