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arXiv · 2505.13256

Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$

Paul D. Nelson
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Abstract

We give a soft proof of a uniform upper bound for the local factors in the triple product formula, sufficient for deducing effective and general forms of quantum unique ergodicity (QUE) from subconvexity.

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Paul D. Nelson. 2025-05-19. Soft bounds for local triple products and the subconvexity-QUE implication for $\mathrm{GL}_2$. https://arxiv.org/abs/2505.13256

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