• Corpus ID: 237491585

# Counterexample to the Laptev--Safronov conjecture

@inproceedings{Bogli2021CounterexampleTT,
title={Counterexample to the Laptev--Safronov conjecture},
author={Sabine Bogli and Jean-Claude Cuenin},
year={2021}
}
• Published 13 September 2021
• Mathematics, Physics
We prove that the Laptev–Safronov conjecture (Comm. Math. Phys. 2009) is false in the range that is not covered by Frank’s positive result (Bull. Lond. Math. Soc. 2011). The simple counterexample is adaptable to a large class of Schrödinger type operators, for which we also prove new sharp upper bounds.
3 Citations
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