关于ζ函数的积分表示

On Integral Representations for the Zeta-Function

由Riemannζ函数的函数方程得到Hurwitzζ函数的Hermite公式,再从Hermite公式得到Γ(s)的Binet′s第二表达式,从而由ζ函数推得Γ(s)的性质.

In this note we shall derive Hermite＇s formula for the Hurwitz zeta-function from the functional equation for the Riemann zeta-function and derive Binet＇s second expression for the gamma function form Hermite＇s formula, thus deriving properties of the gamma function from the zeta-function.