I am studying diophantine equations and I need the theory of Bakers, Can you advise me about good books, or lectures on Baker's theory?
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5$\begingroup$ You should probably be more precise about what you mean by "Baker theory", but if you are referring to his theorem on linear combinations of logarithms of algebraic numbers, I can recommend the lecture notes of Soundararajan at math.stanford.edu/~ksound/TransNotes.pdf $\endgroup$– Terry TaoCommented Nov 3, 2022 at 19:31
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$\begingroup$ @TerryTao I want to study this theory to understand solving of diophantine equations. $\endgroup$– AlphaCommented Nov 3, 2022 at 20:10
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I think that the good place to start is the paper "Linear forms in logarithms" written by Sanda Bujačić and Alan Filipin, which is a part of Diophantine analysis course notes edited by J. Steuding (https://link.springer.com/book/10.1007/978-3-319-48817-2).
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$\begingroup$ Many thanks, are there good online courses about this theory, you advise me about? $\endgroup$– AlphaCommented Nov 3, 2022 at 20:53
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2$\begingroup$ I think that the best idea is to learn some generalities and then start to read papers using this methodology. There are so many papers but a good idea is the start with the paper f Baker and Davenport (academic.oup.com/qjmath/article/20/1/129/1539395). $\endgroup$ Commented Nov 4, 2022 at 5:45
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