Related papers: Conditional Negation of The abc Conjecture

This paper has been withdrawn by the authors due to an error in Section 7.

This paper has been withdrawn by the author because Conjecture 1 is false. Please see arXiv:0901.2093 for a justification that Conjecture 1 is false. The other main results are also available from the above URL.

We provide new sufficient conditions under which Ryser's conjecture holds.

The said paper [Su2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is false.

The $abc$ conjecture is a very deep concept in number theory with wide application to many areas of number theory. In this article we introduce the conjecture and give examples of its applications. In particular we apply the $abc$…

The article provides a counterexample to a conjecture by Blocki-Zwonek.

In the absence of empirical confirmation, scientists may judge a theory's chances of being viable based on a wide range of arguments. The paper argues that such arguments can differ substantially with regard to their structural similarly to…

In this paper the circulant Hadamard conjecture is proved.

New cases of the multiplicity conjecture are considered.

In this note we provide some results related to the Koethe conjecture and exhibit that the condition R satisfies the Koethe conjecture given in [2, theorem 2.6 ] is superfluous at least under certain conditions described in this note.

A particular case of the Jacobian conjecture is considered and for small dimensional cases a computational approach is offered

We survey recent developments on the Restriction conjecture.

In this paper, we survey some recent results on the Artin conjecture and discuss some aspects for the Artin conjecture.

Several results about the union-closed sets conjecture are presented.

We provide a proof of a variant of the Landau-Siegel Zeros conjecture.

A conjecture of Woods from 1972 is disproved.

Assume that an estimator is asymptotically normal for a target parameter under some conditions. Suppose also that one can test these conditions, and one conducts inference for the target only if the pre-test is not rejected. Does such…

This paper has been withdrawn by the author.

The well-known $abc$-conjecture concerns triples $(a,b,c)$ of non-zero integers that are coprime and satisfy ${a+b+c=0}$. The strong $n$-conjecture is a generalisation to $n$ summands where integer solutions of the equation ${a_1 + \ldots +…

We show that some mathematical results and their negations are both deducible. The derived contradictions indicate the inconsistency of current mathematics. This paper is an updated version of arXiv:math/0606635v3 with additional results…