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Morse Topology, Zero Products, and Elliptic Prime Crossings

Planat, Michel
arXiv (All) · Papers
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11g0560b20dynamical-systemsgeneral-topologynumber-theory
We study how the noncentral zeros of an elliptic-curve $L$-function enter the Birch--Swinnerton-Dyer (BSD) leading coefficient and the prime-scale crossings of an elliptic Chebyshev race. Under the elliptic-curve Riemann hypothesis (ECRH), the completed $L$-function yields an exact Hadamard decompos
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