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%auto-ignore This paper has been withdrawn by the author, due to a crucial error.

This paper has been withdrawn

This paper has been withdrawn due to a crucial error in the proof of the main theorem

This paper has been withdrawn by the author due to text overlap with arXiv:1102.5004, as well as omission of proper citations to arXiv:1110.4655 and arXiv:1111.0313

We discuss sum-rule determinations of $\alpha_s$ from non-strange hadronic $\tau$-decay data. We investigate, in particular, the reliability of the assumptions underlying the "truncated OPE strategy," which specifies a certain treatment of…

This paper has been withdrawn.

This paper has been withdrawn by the author due to a crucial error in equation.

This paper has been withdrawn by the author due to inconsistency of the considered working hypothesis. The consistent treatment is presented in the last publications of the author.

This paper has been withdrawn by the author because overcame by arXiv:0910.4694

This paper has been withdrawn.

The paper has heen withdrawn.

Withdrawn. We thank J. T. Liu for bringing an error in the manuscript to our attention.

This paper has been withdrawn by the author due to serious error found in main argument.

This paper was withdrawn as it may have appeared elsewhere, although in a different form.

This paper has been withdrawn.

This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.

This paper has been removed by arXiv administrators because of excessive overlap with gr-qc/0506062.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

The original version of this paper contains an error; when this is corrected the basic conclusion changes. A revised manuscript will be submitted shortly.

This paper has been withdrawn.