Related papers: Bernoulli Operator and Riemann's Zeta Function
This paper has been withdrawn by the authors, due to the requirement of the Journal where a modified version will be published.
In this paper, by introducing a new operation in the vector space of analytic functions, the author presents a method for derivating the well-known formulas: $\zeta(1-k)=-\frac{B_k}{k}$ and $\zeta(1-n,a)=-\frac{B_n(a)}{n}$ , where $\zeta$,…
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the author due to unspecified problems.
This paper has been withdrawn by the author. The conjecture follows from the finiteness of group von Neumann algebras.
This paper has been withdrawn by the corresponding author because the newest version is now published in Journal of Discrete Algorithms.
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
This paper has been withdrawn by the authors
This paper has been withdrawn by the author(s), due a crucial sign error in Thm. 11.
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
This paper has been withdrawn by the authors, since it has been merged with Part I (ID 0802.3570)
This brief note explicates some mathematical details of Phys. Rev. Lett. 118, 130201 (2017), by showing how a version of the operator of that paper can be rigorously constructed on a well-defined linear space of functions.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to a gap in the proof of the main result.
This paper has been withdrawn by the author(s). Please see arXiv:0711.3910 for revision.
This paper has been withdrawn by the author due to errors and bad formalization.
This paper has been withdrawn by the author, due to the insecurity against attacks received in quant-ph/0605027v5.
This paper has been withdrawn by the author due to a crucial sign error in Proposition 3.1.
This paper has been withdrawn by the authors. Significantly revised versions of the results of this paper are now available in arXiv:0707.0487v2 and arXiv:0808.3169v1.
This paper has been withdrawn by the author due to the presented idea is wrong.