A new higher-dimensional irrationality criterion for periods expressed as Mellin integrals, based on upper bounds for multivariate transfinite diameters, is applied to give an alternative proof of the irrationality of zeta(2).
Multiple zeta values and periods of moduli spaces M _ 0 ,n ( R )
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Mellin transforms, transfinite diameter and rational approximations of integrals
A new higher-dimensional irrationality criterion for periods expressed as Mellin integrals, based on upper bounds for multivariate transfinite diameters, is applied to give an alternative proof of the irrationality of zeta(2).