- 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
- Full Text
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