Transcendence Methods

Transcendence Methods by Michel Waldschmidt Queen’s Papers in Pure and Applied Mathematics, No. 52 Queen’s University, Kingston, Ontario, 1979 ERRATA p. 1 “some recent books”, in the last reference (Ast´erisque), replace 71 by 69–70. p. 1.9, l.-7, displayed formula, replace the subscript h − 1 by h = 1 p.3.9, two lines before Theorem 3.3.1 = line which ends with “Finally in a paper to appear in Bull. Acad.”, replace > by < p.5.2, l.11, displayed formula starting with |F ( 1q )| replace the last bracket ) by log N ) so that the formula reads 1 2 |F ( )| < exp(−N 2n +6n+6 log N ). q L−λ0

p.5.5, l. 9 = line which starts with (µ1 , . . . , replace Lq − λ0j by q j p.5.6, line 2 of section c = just before the statement of Lemma 5.2.1, add: We recall that T = N 2n+4 and L = N 2n+2 . p.5.7, l. 3. Replace twice < by ≤: read 0 ≤ λj ≤ L/q S , (1 ≤ j ≤ n + 1). p.5.7, l. 9, displayed formula (after: From the upper bound) replace cL3 by cL+T . 3 1 . p.5.7, l. 11, replace 41 by 4q p.6.3, l. 5 of section 6.2. The symbol ℘ (Weierstrass P) is missing after 2 σ : read then σ 2 ℘ is entire. p.8.4, l.2: at the end of this formula for ω1 , replace 28/3 by 24/3 in the denominator. p.8.13, l.2, replace min{s, L2 } by min{t, L2 }. p.9.14, last line. Replace 71 by 69–70. p.10.10 Section c) Comparison of Bombieri’s criterion... should be labelled section e)