return to homepage
Mathematica notebook containing data from "Solving Solvable Quintics" (Math. Comp. 57 (July 1991) and Supplement in 59 (1992)).
Notebook includes definitions of all parameters from the paper in terms of coefficients p,q,r,s of a quintic (whose x4 term is 0). At the end of the notebook is some code to explicitly solve for the roots of the quintic numerically (and the code can be modified easily to produce the exact algebraic values of the roots in terms of radicals).
This is an Adobe PDF file containing the solution of Ramanujan's quintics (problem 699) explicitly in terms of radicals.
This is an Adobe PDF file containing a fairly primitive TeXed version of the Math. Comp. paper "Solving Solvable Quintics" (in particular, all the lines are not present in the field diagram, etc.).
This is an Adobe PDF file containing the content of an email from Robin Chapman (dated Wednesday, January 22, 1992) that corrects a gap in the proof of Theorem 1 of "Solving Solvable Quintics". In Theorem 1, it is stated that a polynomial (whose roots are the θi for i = 2,3,...,6) is irreducible because the Galois group acts transitively on the roots. This is correct unless all of the θi for i = 2,3,...,6 are equal. This note proves that this cannot happen for the choice of θi in the paper.
return to homepage