Small value estimates for the multiplicative group
نویسندگان
چکیده
منابع مشابه
Small Value Estimates for the Additive Group
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 C, instead of just one point (one extension deals with a subgroup of C).
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Let k be a nite eld of characteristic p and cardinality q, a nontrivial C -valued additive character of k, and a nontrivial C -valued multiplicative character of k . We extend to a function on all of k by de ning (0) := 0: Recall that, given an integer n, a number 2 C is said to be pure of weight n (relative to q) if it and all its Aut(C =Q)-conjugates have absolute value p q. Such an is necess...
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ژورنال
عنوان ژورنال: Acta Arithmetica
سال: 2008
ISSN: 0065-1036,1730-6264
DOI: 10.4064/aa135-4-5