Related papers: Bernoulli Operator and Riemann's Zeta Function

The paper was withdrawn by the author.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

This paper has been withdrawn by the author, due to a crucial error in page 5.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author(s), due a mistake of factor 1/2.

This paper has been withdrawn by the author due to an error in the sufficient condition given for the proof of the Tate conjecture for Catanese surfaces.

This paper has been withdrawn by the author.

This paper has been withdrawn by the author due to an error estimate in Lemma 3.1.

This paper has been withdrawn due to an error, and no further revisions will be made.

This paper has been withdrawn by the author due to a crucial error.

This paper has been withdrawn by the author due to a crucial error in the submission action.

This paper has been withdrawn because of serious errors.

This paper has been withdrawn by the author due to a crucial sign error in equation 1.

This paper has been withdrawn since the results are not satisfied.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the author due to an error.

This paper has been withdrawn by the author, due to errors in the figures.

This paper has been withdrawn by the author due to some errors.

This paper has been withdrawn by the authors due to an error.

This paper has been withdrawn due to a crucial theoretical error.

Major mistake. The paper has been withdrawn.