Mean square values of Dirichlet $L$-functions associated to fixed order characters

C. C. Corrigan

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arXiv · 2310.16511

Mean square values of Dirichlet $L$-functions associated to fixed order characters

C. C. Corrigan

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Abstract

The main purpose of this paper is to establish bounds on the second moment of $L\big(\tfrac{1}{2}+it,\chi\big)$, averaged over families of fixed order characters. A discrete version of the main result is also stated, from which zero-density estimates pertaining to fixed order characters are derived.

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C. C. Corrigan. 2023-10-25. Mean square values of Dirichlet $L$-functions associated to fixed order characters. https://arxiv.org/abs/2310.16511

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