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arxiv: 2504.05890 · v2 · pith:Y3HCGAMUnew · submitted 2025-04-08 · 🧮 math.NT

Large central values of Dirichlet L-functions in cosets

classification 🧮 math.NT
keywords centralcosetsdirichletl-functionslargevaluescharactersconsider
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In this paper we consider the distribution of large central values of Dirichlet L-functions over cosets of the group of characters modulo q via Soundararajan's resonator method.

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  1. Large values of $L(\sigma,\chi)$ for subgroups of characters

    math.NT 2026-04 unverdicted novelty 7.0

    New bounds on large values of L(σ, χ) for thin subgroups of characters mod q, plus unconditional gaps between primitive roots.