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arxiv: 0802.2792 · v1 · pith:SM6SRWLXnew · submitted 2008-02-20 · 🧮 math.SP

Two dimensional Berezin-Li-Yau inequalities with a correction term

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keywords correctiontermberezin-li-yauaddingalmostasymptoticalbehaviourdimension
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We improve the Berezin-Li-Yau inequality in dimension two by adding a positive correction term to its right-hand side. It is also shown that the asymptotical behaviour of the correction term is almost optimal. This improves a previous result by Melas.

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