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Turán's first work was on probabilistic number theory and in 1938 he produced the sum-power method on which he wrote 50 papers during his life. He also worked on extremal graph theory (while in the labour camp) and statistical group theory with Erdös. The reference below, written by Paul Erdös, describes Turán's work on graph theory.
A mathematician (Jozsef Pelikan) who served under Turán in Budapest described him as
outstanding in analytic number theory but not a good manager of a department.
References:
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