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

Title: A refinement of Nesterenko's linear independence criterion with applications to zeta values
Creator: Fischler, Stéphane; Zudilin, W.
Relation: Mathematische Annalen Vol. 347, Issue 4, p. 739-763
Publisher Link: http://dx.doi.org/10.1007/s00208-009-0457-y
Publisher: Springer
Resource Type: journal article
Date: 2010
Description: 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.
Subject: Nesterenko; linear independence criterion; zeta values; q-analogs
Identifier: uon:9496
Identifier: http://hdl.handle.net/1959.13/922164
Identifier: ISSN:0025-5831
Rights: The final publication is available at www.springerlink.com
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