The study of partition functions is a significant area in number theory, focusing on how integers can be expressed as sums of other integers. Recent research has explored various inequalities related ...

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 led by researchers at North Carolina State University developed a new method that enables quantum computers to measure the thermodynamic properties of systems by calculating the zeros of the ...

In this paper we discuss efficient algorithms for computing the values of the partition function and implement these algorithms in order to conduct a numerical study of some conjectures related to the ...

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 ...

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 ...

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 ...