Seki's Bernoulli numbers
Números de Bernoulli de Seki Takakazu
- Date
- 1712 · confidence high
- Place
- Edo (Tokyo), Japan
- Credited to
- Seki Takakazu (published by his disciples)
- People
- 👤 Seki Kōwa1642–1708
- Field
- Knowledge & symbols
What was discovered
A formula for sums of powers of integers that defines the numbers now called Bernoulli numbers, published in the Katsuyō Sanpō. It appeared a year before Jakob Bernoulli's Ars Conjectandi, independently.
Seki died in 1708; the book was published posthumously in 1712, and Bernoulli's in 1713 (also posthumous).
What it led to
- analysis of sums of powers in wasan
- Takebe's infinite series