Related papers: Concatenated Fibonacci and Lucas numbers do not fo…
This paper has been withdrawn by the author due to a crucial sign error in equation 1.
In this work, we made a generalization that includes all bicomplex Fibonacci-like numbers such as; Fibonacci, Lucas, Pell, etc.. We named this generalization as bicomplex Horadam numbers. For bicomplex Fibonacci and Lucas numbers we gave…
This paper has been withdrawn by the author due to a crucial error.
This paper has been withdrawn by the author due to a crucial sign error in equation 2 and some mistake in Table 1 information. please let me for changing this information and updating this paper.
Withdrawn due to fatal errors.
This paper has been withdrawn by the author due to a crucial argument error at p.10.
This paper has been withdrawn by the author, due to an error in the proof of Theorem 3.8.
This paper has been withdrawn by the authors. We have discovered an error in the evaluation of the diagram, which invalidates our conclusion.
This paper has been withdrawn by the authors due to a crucial error.
This paper has been withdrawn by the author due to a crucial error in the submission action.
Let $(F_n)_{n\ge0}$ and $(L_n)_{n\ge0}$ denote the sequences of Fibonacci and Lucas numbers respectively. This paper determines all Lucas numbers that can be represented as base $b$ mixed concatenations of a Fibonacci number and a Lucas…
This paper is wrong and is therefore withdrawn.
This paper has been withdrawn by the author(s), due a crucial i-number error in Eqn. 18.
This paper has been withdrawn by the author due to an error.
This paper has been withdrawn due to a critical error near equation (71). This error causes the entire argument of the paper to collapse. Emmanuel Candes of Stanford discovered the error, and has suggested a correct analysis, which will be…
This paper has been withdrawn by the author, due an error in the proof of Proposion 2.13.
The paper has benn withdrawn because the computation of the external virial contains an error which invalidate the main result.
This paper has been withdrawn by the author due to extremely unscientific errors.
This paper has been withdrawn by the authors, due a crucial error in Sec. 3.
This paper has been withdrawn by the author due to a crucial error in Lemma 3.5.