Diophantine Approximation on Linear Algebraic Groups

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Bounds for the solutions of S-unit equations and decomposable form equations (2005, background): “For properties of this height, we refer to [31].”
Transcendence of Periods: The State of the Art (2006, background): “The proofs of the few partial results which are known in the direction of Conjecture 41 and of the four exponentials Conjecture [39, 59, 61] rest on the method which enabled Th.”
The rational points of a definable set (2006, methodology): “(A similar method was found a little earlier by Laurent [18]; also see [33]).”
Exponential Diophantine equations (2015, background): “Baker's theory of linear forms in logarithms is discussed in details in [6].”