Related papers: Bernoulli Operator and Riemann's Zeta Function
This paper has been withdrawn by the author, due to an error in Proposition 2.2.
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to imprecisions which must conduce to wrong results.
The paper has been withdrawn due to a crucial error in section 3.
This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.
This paper has been withdrawn by the author(s), due to a crucial error in eq. 6.
This paper has been withdrawn by the author, due a crucial error in the optimization. For the last one month I have been trying to remove the error, but it seems to take a lot of time so I decided to withdraw this paper for the moment.
We introduce a Bernoulli operator,let $\mathbf{B}$ denote the operator symbol,for n=0,1,2,3,... let ${\mathbf{B}^n}: = {B_n}$ (where ${B_n}$ are Bernoulli numbers,${B_0} = 1,B{}_1 = 1/2,{B_2} = 1/6,{B_3} = 0$...).We obtain some formulas for…
This manuscript has been withdrawn due to less meaning.
This paper has been withdrawn by the author due to serious flaws in certain proofs. For instance, the method used to construct certain automorphic representations is flawed.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
A generalization of a well-known relation between the Riemann zeta function $\zeta(s)$ and Bernoulli numbers $B_n$ is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli…
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.
This paper has been withdrawn because the content has been substantially improved in a later paper, arXiv:0806.1165.
This paper has been withdrawn by the author.
This paper has been withdrawn. See published paper http://arxiv.org/math.HO/0512390
This paper has been withdrawn by the author due to an error in the proof of Theorem 1.
This paper has been withdrawn by the author due to new results to be added.
This paper has been withdrawn by the author due to a crucial sign error in equation 1
This paper has been withdrawn due to a critical error discovered in Theorem 4.21. Anyone with a historical or pragamatic interest in prior "negative results", however - e.g., failed proof attempts relating to the (in)consistency of ZF or…