Integer partitions and Kloosterman sums – Qihang Sun

Ramanujan observed the congruence properties of the partition function. A beautiful combinatorial explanation of the congruences was discovered by Dyson,  who introduced the rank of partitions. Analogous to the Hardy-Ramanujan-Rademacher formula for the partition function, I will introduce a generalization to the rank of partitions and the explore the connection to Kloosterman sums.

Talk by Sun Qihang.

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