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PreprintarXiv licencearXiv

Chowla's non-vanishing conjecture over 𝔽q(T)

  • Peter Koymans
  • Carlo Pagano
  • Mark Shusterman
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Abstract

Let q ≡ 1 bmod 8 be a prime power. We prove that L(1/2, χ) ≠ 0 for 100% of the imaginary quadratic Dirichlet characters of 𝔽q(T).

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Cite

BibTeXRIS
BibTeX
@misc{koymans2026chowlas,
  title = {{Chowla's non-vanishing conjecture over $\mathbbF_q(T)$}},
  author = {Peter Koymans and Carlo Pagano and Mark Shusterman},
  howpublished = {arXiv},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.11855},
  eprint = {2609.11855},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2609.11855},
}
RIS
TY  - UNPB
TI  - Chowla's non-vanishing conjecture over 𝔽_q(T)
AU  - Peter Koymans
AU  - Carlo Pagano
AU  - Mark Shusterman
PY  - 2026
DA  - 2026/09/10
PB  - arXiv
DO  - 10.48550/arxiv.2609.11855
UR  - https://arxiv.org/abs/2609.11855
AB  - Let q ≡ 1 bmod 8 be a prime power. We prove that L(1/2, χ) ≠ 0 for 100% of the imaginary quadratic Dirichlet characters of 𝔽_q(T).
ER  -