Arithmetic Conjectures Suggested by the Statistical Behavior of Modular Symbols
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DOI: 10.1080/10586458.2021.1982424
Abstract: Suppose $E$ is an elliptic curve over $\mathbb{Q}$ and $\chi$ is a Dirichlet character. We use statistical properties of modular symbols to estimate heuristically the probability that $L(E,\chi,1) = 0$. Via the Birch and Swinnerton-Dyer… read more here.
Keywords: suggested statistical; statistical behavior; behavior modular; conjectures suggested ... See more keywords