Bring Quintic Form

A Tschirnhausen transformation can be used to take a general quintic equation to the form

where  may be complex.

REFERENCES:

Bring, E. S. Quart. J. Math. 6, 1864.

Grunert, J. A. "VIII. Miscellen von dem Herausgeber." Archiv der Math. Phys. 41, 105-112, 1864.

Harley, R. "A Contribution to the History of the Problem of the Reduction of the General Equation of the Fifth Degree to a Trinomial Form." Quart. J. Math. 6, 38-47, 1864.

Ruppert, W. M. "On the Bring Normal Form of a Quintic in Characteristic 5." Arch. Math. 58, 44-46, 1992.

Tortolini, B. "Rivista bibliografica sopra a transformazione del Sig. Jerrard per l'equazioni di quinto grado." Annali di Mat. pura appl. 6, 33-42, 1864.