Title :
On Integral Representations for the Zeta-Function
Author_Institution :
Dept. of Math., WeiNan Teachers Univ., Weinan, China
Abstract :
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.
Keywords :
functional equations; integral equations; Binets second expression; Hermites formula; Hurwitz zeta-function; Riemann zeta-function; functional equation; gamma function; integral representation; Automation; Convergence; Educational institutions; Integral equations; Mathematics; Binet´s formula; Hermite´s formula; Hurwitz zata-function; gamma function;
Conference_Titel :
Intelligent Computation Technology and Automation, 2009. ICICTA '09. Second International Conference on
Conference_Location :
Changsha, Hunan
Print_ISBN :
978-0-7695-3804-4
DOI :
10.1109/ICICTA.2009.853
