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Abstract The linear independence (LI) hypothesis, which states roughly that the imaginary parts of the critical zeros of Dirichlet $L$-functions are linearly independent over the rationals, is known to have interesting consequences in the study of prime number races, as pointed out by Rubinstein and Sarnak. In this article, we prove that a function field analog of LI holds generically within certa...

Independence of the Zeros of Elliptic Curve L-Functions over Function Fields