Mean Values of Algebraic Linear Forms
نویسنده
چکیده
Suppose K/Q is a totally real extension of degree d = [K : Q]. Let Qp denote the completion of with respect to the p-adic valuation when p is a rational prime number and let Q,, denote IR when the valuation is the usual absolute value. This latter case is thought of as corresponding to the case where the prime p is 'infinite'. Suppose : K->QP is a (Q-)linear form. We say that is p-adic algebraic if the coefficients with respect to a basis of K/Q are algebraic. Obviously this condition is independent of the basis chosen. Let H: K—>U denote the height on K, defined as follows:
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