On two Kuznetsov's conjectures
Florian Oschmann

TL;DR
This paper addresses two conjectures by N. Kuznetsov, providing a proof for one and a counterexample for the other, advancing understanding in the related mathematical field.
Contribution
It offers the first proof of one conjecture and a counterexample disproving the other, clarifying the validity of Kuznetsov's claims.
Findings
Proof of one Kuznetsov conjecture
Counterexample to the second conjecture
Clarification of conjectures' validity
Abstract
We provide a proof and a counterexample to two conjectures made by N. Kuznetsov.
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Taxonomy
TopicsMathematical Dynamics and Fractals · advanced mathematical theories
