structural:scholar_edition, information:extraction
Rational exponents

For the Diophantine equation a + b = c with n not equal to 1, Bennett, Glass, and Székely proved in 2004 for n > 2, that if n and m are coprime, then there are integer solutions if and only if 6 divides m, and a, b, and c are different complex 6th roots of the same real number.