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After returning to Russia, Luzin was left at the university "to prepare for a professorship," I passed the master's examinations, he began teaching, and in 1910 again went abroad - to Gottingen and Paris. In Gottingen Luzin wrote his first paper, which was published in 1911. In Paris, he started a personal acquaintance with Jacques Hadamard, Henri Lebesgue and other famous mathematicians.
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