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PreprintarXiv licencearXiv

Large values of cubic and quartic Dirichlet L-functions of prime moduli

Abstract

In this paper, we apply the resonator method to exhibit large values at the central point of the families of cubic and quartic Dirichlet L-functions of prime moduli under the generalized Riemann hypothesis.

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BibTeX
@misc{gao2026large,
  title = {{Large values of cubic and quartic Dirichlet $L$-functions of prime moduli}},
  author = {Peng Gao and Liangyi Zhao},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.02392},
  eprint = {2609.02392},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.02392},
}
RIS
TY  - UNPB
TI  - Large values of cubic and quartic Dirichlet L-functions of prime moduli
AU  - Peng Gao
AU  - Liangyi Zhao
PY  - 2026
DA  - 2026/09/02
PB  - arXiv
DO  - 10.48550/arxiv.2609.02392
UR  - https://arxiv.org/abs/2609.02392
AB  - In this paper, we apply the resonator method to exhibit large values at the central point of the families of cubic and quartic Dirichlet L-functions of prime moduli under the generalized Riemann hypothesis.
ER  -