In arithmetic, this idea refers to a particular relationship inside energy collection expansions of trigonometric capabilities, notably the tangent operate. It entails the Bernoulli numbers and offers a connection between these numbers and particular values of the Riemann zeta operate. As an illustration, it permits one to specific /6 because the infinite sum of the reciprocals of the squares of pure numbers.
This mathematical thought affords a precious device for understanding the interaction between seemingly disparate mathematical ideas. Traditionally, its discovery offered an important hyperlink in growing the idea of particular capabilities and contributed considerably to developments in quantity concept and evaluation. It continues to be related in trendy arithmetic, showing in areas like advanced evaluation and the examine of particular values of L-functions.
