刊物主题:Number Theory; Field Theory and Polynomials; Combinatorics; Fourier Analysis; Functions of a Complex Variable;
出版者:Springer US
ISSN:1572-9303
卷排序:42
文摘
Finite representations of the partition function in terms of powers and eigenvalues of a sparse upper Hessenberg matrix are established. The trace of this matrix also yields finite representations of the divisor function. Several identities between partition numbers and other quantities such as matrix functions are derived.