Small value estimates for the additive group

Details Small value estimates for the additive group Small value estimates for the additive group

2007-08-17

arxiv.org/abs/0708.2307v1

Mathematics

Number Theory

35 pages

Scientific paper

We generalize Gel'fond's criterion of algebraic independence to the context
of a sequence of polynomials whose first derivatives take small values on large
subsets of a fixed subgroup of the additive group of complex numbers, instead
of just one point. We also provide one extension dealing with a subgroup of the
multiplicative group of non-zero complex numbers.

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