Böcherer, Siegfried (ed.) et al., Automorphic forms and zeta functions. In memory of Tsuneo Arakawa. Proceedings of the conference, Rikkyo University, Tokyo, Japan, September 4–7, 2004. Hackensack, NJ: World Scientific (ISBN 981-256-632-5/hbk). 71-106 (2006).
The double zeta values are defined for integers by . The present paper gives various interesting relations among double zeta values, e.g.,
It is shown that the structure of the -vector space of all relations among double zeta values of fixed weight is connected with the structure of the space of modular forms of weight on the full modular group (as indicated by the appearance of 691 in the formula above). Moreover, the authors introduce both transcendental and combinatorial double Eisenstein series in order to study the relations between double zeta values and modular forms.
|11M41||Other Dirichlet series and zeta functions|
|11F11||Holomorphic modular forms of integral weight|