Demonstrates that defect-curvature correction remains subcritical in finite arithmetic lattices, suggesting refined rigidity outcomes.
This paper proves that the defect-curvature correction term in finite reflected arithmetic lattices is subcritical. Using reflected-prime weighted sums and dyadic Brun-Titchmarsh estimates, it shows that the correction remains negligible, yielding an unconditional quartic midpoint-curvature asymptotic.
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Meryem Katircioglu (2026) studied this question.
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