Logarithmic derivatives of Dirichlet $L$-functions and the periods of abelian varieties

Greg W. Anderson

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We prove that for any real $θ$ there are infinitely many values of $s = σ + i t$ with $σ \to 1 +$ and $t \to + \infty$ such that $ℜ {exp (i θ) log L (s, χ)} \geq log \frac{log log log t}{log log log log t} + O (1) .$ The proof relies on an effective version of Kronecker’s approximation theorem.

Displaying similar documents to “Logarithmic derivatives of Dirichlet L -functions and the periods of abelian varieties”

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