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MR1011373 (90m:33002) 33A25 (14K20 58C27)
Petrov, G. S. Complex zeroes of an elliptic integral. (Russian) Funktsional. Anal. i Prilozhen. 23 (1989), no. 2, 88--89; translation in Funct. Anal. Appl. 23 (1989), no. 2, 160–161
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