Gangl, H. and Kaneko, M. and Zagier, D. (2006) 'Double zeta values and modular forms.', in Automorphic forms and zeta functions : proceedings of the conference in memory of Tsuneo Arakawa, 4-7 September 2004, Rikkyo University, Japan. Singapore: World Scientific, pp. 71-106.
Abstract
We give new relations among double zeta values and show that the structure of the Q-vector space of all (known) relations among double zeta values of weight k is connected in many different ways with the structure of the space of modular forms of weight k on the full modular group. Furthermore, we introduce and study both transcendental and combinatorial ``double Eisenstein series'' which explain the relation between double zeta values and modular forms and provide new realizations of the space of double zeta relations.
| Item Type: | Book chapter |
|---|---|
| Keywords: | Multiple zeta values, Modular forms, Period polynomials, Double Eisenstein series. |
| Full text: | Full text not available from this repository. |
| Publisher Web site: | http://www.worldscibooks.com/mathematics/6005.html |
| Date accepted: | No date available |
| Date deposited: | No date available |
| Date of first online publication: | January 2006 |
| Date first made open access: | No date available |
Save or Share this output
| Export: | |
| Look up in GoogleScholar |
