A New Representation of the Riemann Zeta Function ζ(s)
S.C. Woon (U. of Cambridge)
获得了黎曼zeta函数ζ(s)和伯努利数B_n之间众所周知的关系的概括。 该公式是黎曼zeta函数在嵌套系列伯努利数方面的新表示。
A generalization of a well-known relation between the Riemann zeta function ζ(s) and Bernoulli numbers B_n is obtained. The formula is a new representation of the Riemann zeta function in terms of a nested series of Bernoulli numbers.