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Fermat's Last Theorem for “Almost All” Exponents
Author(s) -
HeathBrown D. R.
Publication year - 1985
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/17.1.15
Subject(s) - fermat's last theorem , citation , mathematics , discrete mathematics , combinatorics , calculus (dental) , library science , computer science , medicine , dentistry
Fermat's Last Theorem—which we shall abbreviate to FLT—is the (as yet unproved) assertion that the Diophantine equation x" + y" — z" has no solutions in positive integers if 11 ^ 3. It would suffice to deal with the case in which n is prime, and this is where the most significant work has been done. None the less it is not yet known even whether FLT is true for infinitely many prime exponents. If one considers general exponents n one sees that FLT is true at least for a proportion