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 zeta-values with rational coefficients.
Multiple integrals and linear forms in zeta-values
VIOLA, CARLO
2007-01-01
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 zeta-values with rational coefficients.File in questo prodotto:
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