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Science 4 February 2000:
Vol. 287. no. 5454, pp. 792 - 793
DOI: 10.1126/science.287.5454.792
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MATHEMATICS:
Fermat's Last Theorem's First Cousin

Dana Mackenzie

For 30 years, the Langlands conjecture, which posits an equivalence between two different branches of mathematics, has been a driving force in number theory. In 1998, the conjecture was proved for one group of mathematical structures, called local fields; now it has been proven for function fields, leaving only the central problem of number fields unresolved. The conjecture's author says that it is only a matter of time now before that one is solved, too.

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Science. ISSN 0036-8075 (print), 1095-9203 (online)