Related papers: Two conjectures on integer arithmetic and their ap…
This paper has been withdrawn by the author due to an extended and largely modified version of the paper was published in arXiv (see arXiv:0807.3694, Disjoint minimal graphs).
This paper has been withdrawn by the author due to a crucial sign error in equation (5).
This paper has been retracted.
This paper has been withdrawn by the author [arXiv admin].
This paper has been withdrawn by the author due to an error in the sufficient condition given for the proof of the Tate conjecture for Catanese surfaces.
Problems related to the existence of integral and rational points on cubic curves date back at least to Diophantus. A significant step in the modern theory of these equations was made by Siegel, who proved that a non-singular plane cubic…
This paper has been withdrawn
This paper is withdrawn.
We discuss a problem initially thought for the Mathematical Olympiad but which has several interpretations. The recurrence sequences involved in this problem may be generalized to recurrence sequences related to a much larger set of…
This paper is wrong and is therefore withdrawn.
Two conjectures recently proposed by one of the authors are disproved
In this paper we state some conjectures about q-Fibonacci polynomials which for q=1 reduce to well-known results about Fibonacci numbers and Fibonacci polynomials.
The paper has been withdrawn by the author due to a gap in Proof of Theorem 1.1.
Paper withdrawn by the author.
This is an appendix to our paper "An update of the Hirsch Conjecture" (arXiv:0907.1186), containing proofs of some of the results and comments that were omitted in it.
This paper has been withdrawn by the author, due to errors in the figures.
This paper has been withdrawn by the author for further investigation.
We reduce the principal problem of Additive Number Theory of whether an infinite sequence of integers constitutes a finite basis for the integers to a Diophantine problem involving the difference set of the sequence, by proving a formula…
This submission has been withdrawn at the request of the author.
This paper has been withdrawn by the author due to a error in attachment of source file.