Related papers: A simple proof of a conjecture on univariate polyn…
We present two related conjectures, arising in work on i-matchings in random r-regular bipartite graphs. The conjectures themselves are easily stated and involve only basic properties of convergent power series. One formulation involves…
This paper has been withdrawn by the author, due a crucial mistake in proof of lemma 4.2.
The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.
In this note we show that the only result of [Rocky Mountain J. Math. 54 (2024), no. 4, 995--1004] is nothing more than a misformulated version of an exercise from classical texts, presented with a flawed proof. To place the matter on…
In this paper, we prove the conjecture of Yui and Zagier concerning the factorization of the resultants of minimal polynomials of Weber class invariants. The novelty of our approach is to systematically express differences of certain Weber…
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn due to an error in the proof of the main theorem.
The purpose of this paper was to give an algebraic analog of Poincare duality. But there is a mistake in the proof of the main theorem. It will be corrected as soon as possible.
This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…
This paper has been withdrawn, as all conjectures (and one claim) have been proven incorrect. Some of what remains may eventually reappear in a different context.
The paper was withdrawn because of its significant overlap with a paper appeared recently.
This paper has been withdrawn by the author. Much simpler proof of the main result was obtained which led to major changes in the presentation.
This paper has been withdrawn by the author due to the presented idea is wrong.
It is well known that for two univariate polynomials over complex number field the number of their common roots is equal to the order of their resultant. In this paper, we show that this fundamental relationship still holds for the tropical…
This paper has been withdrawn by the author.
This very short correction notes a gap in an argument of an earlier paper, and also provides a theorem of similar flavor to the main result of that paper.
This paper has been withdrawn by the author(s), due a crucial error on the entanglement of $\Gamma$ registers.
This paper is withdrawn. We found a mistake in Lemma 4.1
This paper has been withdrawn
The paper is withdrawn due to an error in Section 2.