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Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension

Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension

来源:Arxiv_logoArxiv
英文摘要

This note establishes that the opposite Gaussian product inequality (GPI) of the type proved by Russell & Sun (2022a) in two dimensions, and partially extended to higher dimensions by Zhou et al. (2024), continues to hold for an arbitrary mix of positive and negative exponents. A general quantitative lower bound is also obtained conditionally on the GPI conjecture being true.

Wei Sun、Guolie Lan、Frédéric Ouimet

数学

Wei Sun,Guolie Lan,Frédéric Ouimet.Results related to the Gaussian product inequality conjecture for mixed-sign exponents in arbitrary dimension[EB/OL].(2025-05-15)[2025-07-24].https://arxiv.org/abs/2505.09976.点此复制

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