An Analytic Formula for Numbers of Restricted Partitions from Conformal Field Theory

String Fields, Higher Spins and Number Theory Pub Date : 2017-02-15 DOI:10.4310/ATMP.2018.V22.N5.A4

D. Polyakov

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引用次数: 4

Abstract

We study the correlators of irregular vertex operators in two-dimensional conformal field theory (CFT) in order to propose an exact analytic formula for calculating numbers of partitions, that is: 1) for given $N,k$, finding the total number $\lambda(N|k)$ of length $k$ partitions of $N$: $N=n_1+...+n_k;0

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