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The subconvexity bound for standard L-function in level aspect

Number Theory 2025-03-18 v1

Abstract

In this paper we prove a new subconvexity result for the standard L-function of a unitary cuspidal automorphic representation π\pi of GLn\text{GL}_n, where the finite set of places SS with large conductors is allowed to vary, provided that the local parameters at every place in SS satisfy certain uniform growth condition.

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Cite

@article{arxiv.2503.12310,
  title  = {The subconvexity bound for standard L-function in level aspect},
  author = {Yueke Hu and Paul Nelson},
  journal= {arXiv preprint arXiv:2503.12310},
  year   = {2025}
}

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R2 v1 2026-06-28T22:22:17.855Z