ON LINEAR INDEPENDENCE MEASURES OF SOME ABELIAN INTEGRALS
2003 年 57 巻 1 号 p. 129-157
詳細
2003 年 57 巻 1 号 p. 129-157
In this paper, we use ideas introduced in an article by C. Hermite (J. Crelle 79 (1875), 324-338) to give new linear independence measures of some Abelian integrals. These approximations are obtained by a study of the theory of the Tissot-Pochhammer differential equations, the cycloelliptic curves and the computation of period matrices.
