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One-dimensional double Hecke algebras and Gaussians

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arxiv math/0003017 v1 pith:ODV5FIA5 submitted 2000-03-02 math.QA

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keywords algebrasdoubleheckeone-dimensionalaffinegaussgauss-selberggaussians
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We use one-dimensional double affine Hecke algebras to introduce q-counterparts of the Gauss integrals and new types of Gauss-Selberg sums at roots of unity.

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Cited by 1 Pith paper

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  1. Using Large Language Models to Study Mathematical Practice

    math.HO 2025-06 conditional novelty 6.0 of 10

    An LLM-assisted corpus study finds that roughly 3% to 12% of 5,000 arXiv math papers contain clear or borderline appeals to mathematical explanation, with frequency varying by subfield.

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