A Set of Conjectured Identities for Stirling Numbers of the First Kind (1808.09264v1)

Published 28 Aug 2018 in math.CO, math-ph, and math.MP

Abstract: Given an integer g, g > 1, an integer w, -1 < w <g - 1, and a set of g distinct numbers, c_1, ..., c_g, we present a conjectured identity for Stirling numbers of the first kind. We have proven all the equalities in case g < 7; and for the case g = 7, provided w < 4. These expressions arise from an aspect of the study of the dimer-monomer problem on regular graphs.

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Authors (1)

Paul Federbush

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