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Triple product formula and mass equidistribution on modular curves of level N

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arxiv 1409.8173 v2 pith:OTHMNOME submitted 2014-09-29 math.NT

Yueke Hu This is my paper · ORCID
classification math.NT
keywords levelmodularcurvesmeasureassociatedcurveequidistributionformula
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abstract

It was shown in previous works that the measure associated to holomorphic newforms of weight $k$ and level $q$ will tend weakly to the Haar measure on modular curve of level 1, as $qk\rightarrow \infty$. In this paper we proved that this phenomenon is also true on modular curves of general level N.

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  1. Squarefree numbers in short intervals: explicit and formalized

    math.NT 2026-08 conditional novelty 6.0 of 10

    For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

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