A generating function for sums of multiple zeta values and its applications

Takashi Aoki, Yasuhiro Kombu, Yasuo Ohno
2007 Proceedings of the American Mathematical Society  
A generating function for specified sums of multiple zeta values is defined and a differential equation that characterizes this function is given. As applications, some relations for multiple zeta values over the field of rational numbers are discussed.
doi:10.1090/s0002-9939-07-09175-7 fatcat:yyteutwmgfgangfrf7fiwfltlu