ON EULER'S FORMULAE FOR DOUBLE ZETA VALUES
2018 年 72 巻 1 号 p. 15-24
詳細
2018 年 72 巻 1 号 p. 15-24
In 1776, L. Euler proposed three methods, called prima methodus, secunda methodus and tertia methodus, to calculate formulae for double zeta values. However, strictly speaking, his last two methods are mathematically incomplete and require more precise reformulation and more sophisticated arguments for their justification. In this paper, we reformulate his formulae, provide their rigorous proofs and also clarify that the formulae can be derived from the extended double shuffle relations.
