Perhaps his most famous result, obtained in 1936 when he was in the United States, is his proof of the asymptotic formula for the growth of the partition function (the number of representations of a number as a sum of natural numbers).
Marahil ang kanyang pinaka-tanyag na resulta, na nakuha sa 1936 kapag siya ay nasa Estados Unidos, ay katibayan ng kanyang asymptotic formula para sa paglago ng partition function (ang bilang ng representasyon ng isang numero bilang isang kabuuan ng natural na numero).