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arXiv · 1505.00623

On the Value Distribution of Two Dirichlet L-functions

Niko Laaksonen·Yiannis N. Petridis
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Abstract

We look at the values of two Dirichlet $L$-functions at the Riemann zeros (or a horizontal shift of them). Off the critical line we show that for a positive proportion of these points the pairs of values of the two $L$-functions are linearly independent over $\mathbb{R}$, which, in particular, means that their arguments are different. On the critical line we show that, up to height $T$, the values are different for $cT$ of the Riemann zeros for some positive $c$.

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Niko Laaksonen, Yiannis N. Petridis. 2015-05-04. On the Value Distribution of Two Dirichlet L-functions. https://arxiv.org/abs/1505.00623

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