A refinement of Nesterenko's linear independence criterion with applications to zeta values

作者:Fischler Stephane*; Zudilin Wadim
来源:Mathematische Annalen, 2010, 347(4): 739-763.
DOI:10.1007/s00208-009-0457-y

摘要

We refine (and give a new proof of) Nesterenko's famous linear independence criterion from 1985, by making use of the fact that some coefficients of linear forms may have large common divisors. This is a typical situation appearing in the context of hypergeometric constructions of Q-linear forms involving zeta values or their q-analogs. We apply our criterion to sharpen previously known results in this direction.

  • 出版日期2010-8