Related papers: Two conjectures on integer arithmetic and their ap…
This is an informal paper presenting historical results around the recent paper of the author about Lang's Conjecture and torsion of elliptic curves. This paper also discusses a few aspects of the proof.
This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.
This paper has been withdrawn by the author because overcame by arXiv:0910.4694
This paper has been withdrawn by the author. This paper is now obsolete. For a solution please see: arXiv:/1205.4265.
In this paper we present some observations about the well-known Goldbach conjecture. In particular we list and interpret some numerical results which allow us to formulate a relation between prime numbers and even integers. We can also…
This paper has been withdrawn by the author(s) in the light of several other works available and due to a misunderstanding in the authorships.
The paper is withdrawn because we realized triviality of the main considered example. Less trivial examples are provided in other our papers on the subject.
This paper has been withdrawn by the authors due to a problem with *efficiently* predicting the large fourier coefficients. It is being reworked and will be resubmitted in the near future.
This paper has been withdrawn by the author because the original version has been changed to another new paper.
The paper presents a counterexample to the Hodge conjecture.
This is a summary of the proof of BAB conjecture. All material are taken from the two BAB paper in the reference. The aim of this summary is to help reader to understand the more technical side of the proof of BAB.
This paper has been withdrawn by the authors due to numerical problems to get viable results.
This paper has been withdrawn by the author because the conclusions reached in it are incorrect.
The paper is withdrawn.
This paper has been withdrawn by the author, due to necessity of revision.
This paper has been withdrawn by the author, due to errors in the figures.
In this article, we give proofs on the Arnold Lagrangian intersection conjecture on the cotangent bundles, Arnold-Givental Lagrangian intersection conjecture and the Arnold fixed point conjecture.
In this article we establish two new results on quantitative Diophantine approximation for one-parameter families of diagonal ternary indefinite forms. In the first result, we consider quadratic forms taking values at prime points. In the…
Given quantities $\Delta_1,\Delta_2,\dots\geqslant 0$, a fundamental problem in Diophantine approximation is to understand which irrational numbers $x$ have infinitely many reduced rational approximations $a/q$ such that $|x-a/q|<\Delta_q$.…
This paper was withdrawn by the author. It turns out that similar ideas have been presented before. The author apologizes.