Abstract
We define $n$-dimensional Beukers-type integrals over the unit hypercube. Using an $n$-dimensional birational transformation we show that such integrals are equal to suitable $n$-dimensional Sorokin-type integrals with linear constraints, and represent linear forms in $1, \zeta(2), \zeta(3), \dots, \zeta(n)$ with rational coefficients.
Citation
Georges Rhin. Carlo Viola. "Multiple integrals and linear forms in zeta-values." Funct. Approx. Comment. Math. 37 (2) 429 - 444, September 2007. https://doi.org/10.7169/facm/1229619663
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