Geodesic
On the real roots of systems of transcendental equations
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 326-333

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The work is devoted to finding the number of real roots of systems of transcendental equations. It is shown that if a system has simple roots, then the number of real coordinates of the roots is the same. Therefore, the number of real roots is related with the number of real roots of the resultant of the system.
Keywords: system of transcendental equations, resultant, residue integral. 
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Alexander M. Kytmanov; Olga V. Khodos. On the real roots of systems of transcendental equations. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 17 (2024) no. 3, pp. 326-333. http://geodesic.mathdoc.fr/item/JSFU_2024_17_3_a3/