Algebraic function field of one variable 9
Algebraic independence measure 137
Algebraic integer 1
Algebraic number 1
Algebraic number field 4
Baker's theorem 57 62
Characteristic root of a linear recurrence 55
Continued fraction 44
Degree of a linear recurrence 55
density 58
Derivation 45
Difference field 162
Differential field 45
Differential module 166
Embedding theorem 50
Exponent of a primary ideal 119
Exponential type 47
Fibonacci number 13
Field of constants 46
Fundamental inequality 2
Hecke 43
Height of an ideal 118
Hilbert's seventh problem 3
INDEX 91
| Irreducible system 164
Kronecker's theorem 105
Lattice point 14
Leading part of a linear recurrence 55
Linear recurrence 55
Liouville inequality 2
Mandelbrot set 26
Minimal polynomial 1
Modular invariant 26
Morse — Thue sequence 12 154
p-adic exp function 50
p-adic log function 50
p-adic number field 50
q-kernel 150
q-regular 150
Reducible system 162
Riemann's formula 10
Rudin — Shapiro sequence 155
Siegel's lemma 14
Skolem — Lech — Mahler's theorem 53
Transcendence type 137
Transcendental number 1
Turan's theorem 59
Unmixed ideal 119
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