Angle Zhivkov
Preprint series:
Institut für Mathematik, Humboldt-Universität zu Berlin (ISSN 0863-0976), 14
MSC 2000
- 01A60 20th century
-
12D10 Polynomials: location of zeros (algebraic theorems)
Abstract
We adjoin complete first kind Abelian integrals of genus two
to solve the general degree six algebraic equation
$a_0 z^6 + a_1 z^5 + \cdots + a_6 = 0$ 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.
Keywords:
roots of polynomials, theta constants