On Some Results of Alan Baker
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Alan Baker, who died on the 4th of February of this year, was born in England on the 19th of August 1939. In 1965 he defended his doctoral dissertation titled ‘Some Aspects of Diophantine Approximation’ at Trinity College Cambridge under the guidance of Harold Davenport. It is a very unusual fact that eight of his papers, including , which is discussed in the next section, had appeared in print before he submitted his doctoral dissertation. Baker was awarded the Fields Medal in 1970 at the International Congress of Mathematicians at Nice. Other honors he received are detailed in the Article-in-a-Box in this issue.
In the present text, we will discuss his paper  and the ‘Baker theory of linear forms in logarithms’, which started with the series of four papers [2, 3, 4, 5] published in the British journal Mathematika. This new theory was an impressive breakthrough in the field of Diophantine approximation and we will briefly present some of its applications. For precise references to original papers, including those mentioned in the next sections, the reader is directed to the monographs [6, 7, 8, 9].
KeywordsBaker’s theory Thue equation Diophantine equations irrationality measure transcendence
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