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

Extremal values of Dirichlet L -functions in the half-plane of absolute convergence

Jörn Steuding (2004)

Journal de Théorie des Nombres de Bordeaux

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