In arithmetic, this idea refers to a particular relationship inside energy collection expansions of trigonometric features, significantly the tangent perform. It includes the Bernoulli numbers and supplies a connection between these numbers and particular values of the Riemann zeta perform. For example, it permits one to precise /6 because the infinite sum of the reciprocals of the squares of pure numbers.
This mathematical thought provides a priceless software for understanding the interaction between seemingly disparate mathematical ideas. Traditionally, its discovery offered a vital hyperlink in creating the idea of particular features and contributed considerably to developments in quantity idea and evaluation. It continues to be related in trendy arithmetic, showing in areas like complicated evaluation and the research of particular values of L-functions.
