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Catalan's conjecture
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==References== * {{citation | first=Yuri | last=Bilu | title=Catalan's conjecture (after Mihăilescu) | journal=[[Astérisque]] | volume=294 | year=2004 | pages=vii, 1–26 | mr=2111637 }} * {{citation | last=Catalan | first=Eugene | year=1844 | title=Note extraite d'une lettre adressée à l'éditeur | language=fr | journal=[[J. Reine Angew. Math.]] | pages=192 | doi=10.1515/crll.1844.27.192 | volume=27 | mr=1578392| url=https://zenodo.org/record/1448842 }} * {{cite conference | last=Cohen | first=Henri | year=2005 | title=Démonstration de la conjecture de Catalan | language=fr | trans-title=A proof of the Catalan conjecture | conference=Théorie algorithmique des nombres et équations diophantiennes | publisher=Éditions de l'École Polytechnique | mr=222434 | location=Palaiseau | isbn=2-7302-1293-0 | pages=1–83}} * {{citation | first=Tauno | last=Metsänkylä | title=Catalan's conjecture: another old Diophantine problem solved | journal=[[Bulletin of the American Mathematical Society]] | volume=41 | year=2004 | issue=1 | pages=43–57 | doi=10.1090/S0273-0979-03-00993-5 | mr=2015449| url=https://www.ams.org/journals/bull/2004-41-01/S0273-0979-03-00993-5/S0273-0979-03-00993-5.pdf | doi-access=free }} * {{citation | first=Preda | last=Mihăilescu | author-link=Preda Mihăilescu | title=Primary Cyclotomic Units and a Proof of Catalan's Conjecture | journal=[[J. Reine Angew. Math.]] | volume=2004 | issue=572 | year=2004 | pages=167–195 | doi=10.1515/crll.2004.048 |mr=2076124}} * {{citation | first=Preda | last=Mihăilescu | title=Reflection, Bernoulli numbers and the proof of Catalan's conjecture | journal=European Congress of Mathematics | year=2005 | pages=325–340 | publisher=Eur. Math. Soc. | location=Zurich | mr=2185753 | url=https://www.uni-math.gwdg.de/preda/mihailescu-papers/catber.pdf | archive-url=https://web.archive.org/web/20220626111548/https://www.uni-math.gwdg.de/preda/mihailescu-papers/catber.pdf | archive-date=2022-06-26 | url-status=dead }} * {{citation | first=Paulo | last=Ribenboim | author-link=Paulo Ribenboim | title=Catalan's Conjecture | publisher=Academic Press, Inc. | location=Boston, MA | year=1994 | isbn=0-12-587170-8 | mr=1259738}} Predates Mihăilescu's proof. * {{citation | first=Robert | last=Tijdeman | author-link=Robert Tijdeman | title=On the equation of Catalan | journal=[[Acta Arith.]] | volume=29 | issue=2 | year=1976 | pages=197–209 | mr=0404137 | doi=10.4064/aa-29-2-197-209| url=https://www.impan.pl/shop/publication/transaction/download/product/100989?download.pdf | doi-access=free }}
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