@Article{JCM-9-3,
author = {Tang-An, Gao and Ze-Ke, Wang},
title = {On the Number of Zeroes of Exponential Systems},
journal = {Journal of Computational Mathematics},
year = {1991},
volume = {9},
number = {3},
pages = {256--261},
abstract = {<p style="text-align: justify;">A system $E:C^n\rightarrow C^n$ is said to be an exponential one if its terms are $ae^{im_1Z_1}.\cdots .e^{im_nZ_n}$. This paper proves that for almost every exponential system $E:C^n\rightarrow C^n$ with degree $(q_1,\cdots,q_n)$, $E$ has exactly $\Pi^n_j=1(2q_j)$ zeroes in the domain $D=\{(Z_1,\cdots,Z_n)\in C^n:Z_j=x_j+iy_j,x_j,y_j\in R,0\leq x_j&lt;2\pi ,j=1,\cdots,n\}$, and all these zeroes can be located with the homotopy method.</p>},
issn = {1991-7139},
doi = {https://doi.org/1991-JCM-9399},
url = {https://global-sci.com/article/86005/on-the-number-of-zeroes-of-exponential-systems}
}