2005-11-04Buch DOI: 10.18452/2623
Resolution of degree ≤ 6 algebraic equations by genus two theta constants
We adjoin complete first kind Abelian integrals of genus two to solve the general degree six algebraic equation a 0 z 6 + a 1 z 5 + ... + a 6 = 0 by genus two theta constants. Using the same formulas, later we resolve degree five, four and three algebraic equations. We study the monodromy group, which permutes the roots of degree six polynomials.
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