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 ...

The statistical physics of graphs and partition functions represents a vibrant intersection of graph theory, statistical mechanics and computational complexity. By summing over an ensemble of ...

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 ...

For centuries prime numbers have captured the imaginations of mathematicians, who continue to search for new patterns that help them identify primes and the way they are distributed among other ...

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 ...