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SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP

DAMIEN ROY

Département de Mathématiques, Université d'Ottawa, 585 King Edward, Ottawa, Ontario K1N 6N5, Canada

https://doi.org/10.1142/S179304211000323XCited by:2 (Source: Crossref)

Abstract

We generalize Gel'fond's criterion for algebraic independence to the context of a sequence of polynomials whose first derivatives take small values on large subsets of a fixed subgroup of ℂ, instead of just one point (one extension deals with a subgroup of ℂ^×).

À Michel Waldschmidt, infatigable voyageur et grand communicateur, avec mes meilleurs vœux et ma plus grande estime, à l'occasion de son soixantième anniversaire.

Keywords:

AMSC: 11J85, 11J81

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Vol. 06, No. 04

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History

Received 19 September 2008

Accepted 20 May 2009

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SMALL VALUE ESTIMATES FOR THE ADDITIVE GROUP

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