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Proof of a conjecture of Goulden and Jackson

  Published:1997-10-01
 Printed: Oct 1997
  • Andrei Okounkov
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Abstract

We prove an integration formula involving Jack polynomials conjectured by I.~P.~Goulden and D.~M.~Jackson in connection with enumeration of maps in surfaces.
MSC Classifications: 05E05, 43A85, 57M15 show english descriptions Symmetric functions and generalizations
Analysis on homogeneous spaces
Relations with graph theory [See also 05Cxx]
05E05 - Symmetric functions and generalizations
43A85 - Analysis on homogeneous spaces
57M15 - Relations with graph theory [See also 05Cxx]
 

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