This is a preview. Log in through your library . Abstract Abstract Let 𝑉 be a rational, selfdual, 𝐶₂-cofinite vertex operator algebra of CFT type, and 𝐺 a finite automorphism group of 𝑉. It is ...

Eighty years ago, Ramanujan conjectured and proved some striking congruences for the partition function modulo powers of 5, 7, and 11. Until recently, only a handful of further such congruences were ...

Partition functions, which enumerate the distinct ways a positive integer may be expressed as a sum of positive integers, have long captivated mathematicians due to their deep connections with number ...

Using “refreshingly old” tools, mathematicians resolved a 50-year-old conjecture about how to categorize important functions called modular forms, with consequences for number theory and theoretical ...