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 Turán inequalities and the higher order Turán inequalities arise in the study of the Maclaurin coefficients of real entire functions in the Laguerre–Pólya class. A sequence {an}n≥0 of real numbers ...

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 ...

Professor Mark Jerrum has won an award for a paper co-authored with Professor Leslie Ann Goldberg of the University of Liverpool. At the recent "International Colloquium on Automata, Languages and ...