Related papers: Small Doubling and Additive Structure Modulo a Pri…

The paper has been withdrawn by the author due to crucial error in formula (14) which does not satisfy conditions for S(x,y) domain if only d>2.

This paper has been withdrawn because the result turns out to be trivial.

The paper was withdrawn by the author. It contained various errors.

This paper has been withdrawn

This paper has been withdrawn by the author due to new results to be added.

This paper has been withdrawn because there is a fundamental error in the computations; with the right computational scheme it seems to be just a version of the Jones polynomial

This paper has been withdrawn by the author due to an error in the proof of Theorem 2.

This paper was withdrawn by the author due to a fatal error.

This paper has been temporarily withdrawn for corrections.

This paper has been withdrawn by the authors, due a gap in the proof of the main Theorem.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn.

The author decided to withdraw this paper by 1) an error in Lemma 5.11 (and 5.12) which requires some justification; 2) the main result of this paper suffers overlap with arXiv:1203.5254; 3) the author decided to split arXiv:1203.5254 into…

This paper has been withdrawn by the authors, due a crucial error in Sec. 3.

This paper has been withdrawn by the author due to an error in the computation of E(n,x) on page 6 which appears to be essential for the result. The author is currently trying to correct this proof

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn due to its publication

This paper has been withdrawn by the author due to similarity to the author's other paper

The paper has been withdrawn by the author.

This paper has been withdrawn by the author, due a crucial error in the main idea.