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arxiv: solv-int/9509003 · v3 · submitted 1995-09-09 · solv-int · hep-th· math-ph· math.MP· nlin.SI

Proofs of Two Conjectures Related to the Thermodynamic Bethe Ansatz

Craig A. Tracy (Univ. of California , Davis) , Harold Widom (Univ. of California , Santa Cruz) This is my paper
classification solv-int hep-thmath-phmath.MPnlin.SI
keywords ansatzbetheintegralkernelthermodynamicthetaarisingconjectures
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We prove that the solution to a pair of nonlinear integral equations arising in the thermodynamic Bethe Ansatz can be expressed in terms of the resolvent kernel of the linear integral operator with kernel exp(-u(theta)-u(theta'))/cosh[(1/2)(theta-theta')]

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