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 ...

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 ...

Mathematicians are unveiling new theories that answer famous old questions about partition numbers, the basis for adding and counting. They have devised the first finite formula to calculate the ...

Prime numbers are essential for technologies like RSA encryption, which rely on the difficulty of guessing these numerals. A new paper shows that another area of mathematics called integer partition ...

For centuries, some of the greatest names in math have tried to make sense of partition numbers, the basis for adding and counting. Many mathematicians added major pieces to the puzzle, but all of ...