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About the ABC conjecture and an alternative. (English) Zbl 1267.11034
Goldfeld, Dorian (ed.) et al., Number theory, analysis and geometry. In memory of Serge Lang. Berlin: Springer (ISBN 978-1-4614-1259-5/hbk; 978-1-4614-1260-1/ebook). 169-180 (2012).
The author first gives a detailed description of the ABC conjecture. Then three alternative conjectures are discussed, proposed by Baker. Beside explanatory remarks and applications for certain Diophantine equations, several diagrams are also provided, to illustrate the various conjectures.
For the entire collection see [Zbl 1230.00036].

MSC:
11D75 Diophantine inequalities
11J86 Linear forms in logarithms; Baker’s method
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