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On some asymptotic formulas in the theory of partitions

On some asymptotic formulas in the theory of partitions

They also conjectured that for Rr<kz S&, pk,(n) 6$kl(n) and for ko<Kr<k~l, fikl(n)<pkp(n). They verify this conjecture for n,(32. Recently Todd2 published a table of all the pk(l~) for n 5100, and it is easy to verify the conjecture for n 5 100. I am unable to prove or disprove …