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 ...

A study has developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the partition function. A study led by researchers at ...

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 ...

Proceedings of the National Academy of Sciences of the United States of America, Vol. 93, No. 23 (Nov. 12, 1996), pp. 12953-12958 (6 pages) The Ising problem consists in finding the analytical ...