Title :
On the Functional Equation for the Hurwitz Zeta-function
Author_Institution :
Dept. of Math., Weinan Teachers´ Coll., Weinan, China
Abstract :
In this note, we shall derive the functional equation for the Hurwitz zeta-function ¿(s,u) from that for the Riemann zeta-function ¿(s), on using an integral expression for ¿(s,u) which in turn depends on the functional equation for ¿(s).
Keywords :
functional equations; integral equations; Hurwitz zeta-function; Riemann zeta-function; functional equation; Artificial intelligence; Biographies; Computational intelligence; Educational institutions; Integral equations; Mathematics; Hurwitz zeta-function; Riemann zeta-function; functional equation; integral representation;
Conference_Titel :
Artificial Intelligence and Computational Intelligence, 2009. AICI '09. International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3835-8
Electronic_ISBN :
978-0-7695-3816-7
DOI :
10.1109/AICI.2009.73
