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Subconvex bounds for $U_{n+1}\times U_n$ in horizontal aspects

Number Theory 2023-12-18 v2

Abstract

For LL-functions attached to automorphic representations of unitary groups Un+1×UnU_{n+1}\times U_n, we establish a subconvex bound valid in certain horizontal aspects, where the set of ramified places is allowed to vary.

Keywords

Cite

@article{arxiv.2309.06314,
  title  = {Subconvex bounds for $U_{n+1}\times U_n$ in horizontal aspects},
  author = {Yueke Hu and Paul D. Nelson},
  journal= {arXiv preprint arXiv:2309.06314},
  year   = {2023}
}

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45 pages