Geodesic
The problem of the number of zeros of an elliptic integral is semialgebraic
Matematičeskie zametki, Tome 44 (1988) no. 3, pp. 393-401.

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     author = {G. S. Petrov},
     title = {The problem of the number of zeros of an elliptic integral is semialgebraic},
     journal = {Matemati\v{c}eskie zametki},
     pages = {393--401},
     publisher = {mathdoc},
     volume = {44},
     number = {3},
     year = {1988},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1988_44_3_a10/}
}
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G. S. Petrov. The problem of the number of zeros of an elliptic integral is semialgebraic. Matematičeskie zametki, Tome 44 (1988) no. 3, pp. 393-401. http://geodesic.mathdoc.fr/item/MZM_1988_44_3_a10/