1.1. Preliminary Remarks. Let \( {\alpha _1},...,{\alpha _m}\;\;{\Bbb A} \), and let ln α1,..., ln α
m
be fixed values of their logarithms. For the duration of this chapter we will use the notation
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$$\Lambda = {b_1}\ln {\alpha _1} + \cdots + {b_m}\ln {\alpha _m},\;\;\;\;\;\;\;{b_1}, \cdots ,{b_m}\;\;{\Bbb Z};$$
(1)
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$${\Lambda _0} = {b_0} + {b_1}\ln {\alpha _1} + \cdots + {b_m}\ln {\alpha _m},\;\;\;\;\;\;\;{b_0},{b_1}, \cdots ,{b_m}\;\;{\Bbb A};$$
(2)
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$${\Lambda _1} = {b_1}\ln {\alpha _1} + \cdots + {b_m}\ln {\alpha _m},\;\;\;\;\;\;\;{b_1}, \cdots ,{b_m}\;\;{\Bbb A}$$
(3)
