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On Representation of Integers from Thin Subgroups of SL(2, ℤ) with Parabolics

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Publication:5151569
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DOI10.1093/IMRN/RNY177zbMath1482.11019arXiv1610.00770OpenAlexW2963420909MaRDI QIDQ5151569

Xin Zhang

Publication date: 19 February 2021

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1610.00770


zbMATH Keywords

critical exponentspectral gapFuchsian group


Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Applications of the Hardy-Littlewood method (11P55) Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Arithmetic combinatorics; higher degree uniformity (11B30)


Related Items (2)

On representations of integers in thin subgroups of \(\text{SL}_2(\mathbb Z)\) ⋮ Logarithmic diameter bounds for some Cayley graphs







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