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arXiv · 1908.04833

Twelfth moment of Dirichlet L-functions to prime power moduli

Djordje Milićević·Daniel White
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Abstract

We prove the q-aspect analogue of Heath-Brown's result on the twelfth power moment of the Riemann zeta function for Dirichlet L-functions to odd prime power moduli. Our results rely on the p-adic method of stationary phase for sums of products and complement Nunes' bound for smooth square-free moduli.

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Djordje Milićević, Daniel White. 2019-08-13. Twelfth moment of Dirichlet L-functions to prime power moduli. https://arxiv.org/abs/1908.04833

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