In arithmetic, this idea refers to a selected relationship inside energy collection expansions of trigonometric capabilities, significantly the tangent operate. It entails the Bernoulli numbers and gives 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 gives a invaluable instrument 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 fashionable arithmetic, showing in areas like complicated evaluation and the research of particular values of L-functions.
