Basic Research of Takakazu SEKI's Works

本研究计画可获得以下有关关孝和（？- 1708年），日本数学家。(1)通过对关木的家谱的追溯，可以明确地看出他的弟弟长昭生于1661年。因此，SEKI的出生年份下限是固定的。(2)我们调查了1705年颁发的日本数学认证卷（现在日本科学院拥有）。这卷是否是关自己授予他的弟子是非常值得怀疑的，因为卷上的印章不是关的，而是他的追随者松井荒木的。(3)在调查日本宫内厅（东京）的档案时，我们重新发现了一本手书《吉书东术》，这本书是《SEKI》的作者。

This research project could get the following results concerning to Takakazu SEKI (? - 1708), traditional Japanese mathematician.(1) By means of tracing SEKI's genealogy, it has been definitely shown that his little brother Nagaaki was born in 1661. Therefore the inferior limit of SEKI's year of birth is fixed.(2) We investigated the roll of certification of Japanese mathematics awarded in 1705 (now in Japan Academy's possession). It is very doubtful whether this roll was granted to his disciple by SEKI himself, because the seal on the roll is not SEKI's but his follower Sonei ARAKI's.(3) Investigating the Archives of the Imperial Household Agency (Tokyo), we rediscovered a hand-written copy of Ketsugisho Tojutsu which is the authorship of SEKI.