Related papers: A simple proof of a conjecture on univariate polyn…
This paper has been withdrawn by the authors due to a likely hole in the proof.
This paper has been withdrawn by the author due to an error in the derivation.
This paper has been withdrawn by the author due to an error in an inequality in the proof of Theorem 1.1.
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
This paper has been withdrawn due to a crucial theoretical and experimental error.
This paper has been withdrawn by the authors due to an error.
This article has been withdrawn due to an error in a proof of the main result.
We obtain new partial results supporting the spectral set conjecture in dimension 1.
The paper has been withdrawn by the author, due to it being fundamentally flawed. The author apologizes for any inconvenience it may have caused.
The solution of equations from the title is well known since the Euler's time. However, its proof in the case of multiple roots of the characteristic polynomial is rather long and technical and even appearance of the factors $x^m$ looks…
This paper has been withdrawn by the author due to a crucial errors.
This paper has been withdrawn by the authors as requested by the journal.
This note gives an informal overview of the proof in our paper "Borel Conjecture and Dual Borel Conjecture", see arXiv:1105.0823.
The Rota--Heron--Welsh conjecture (now a theorem of Adiprasito, Huh, and the author) asserts the log-concavity of the characteristic polynomial of matroids. We give an exposition of the Lorentzian polynomial proof following the work of…
This paper is cancelled
This paper has been withdrawn by the author.
The paper has been withdrawn by the author, due to a critical error stemming from the defined template.
Although the results are correct, it was pointed out that the results follow from some previously known results. Accordingly, this version of the paper is withdrawn by the authors.
This paper has been withdrawn by the author, due an error in claim 1.
The paper has been withdrawn by the author due an error in the proof of Theorem 3.2.