Professor Herbert Gangl herbert.gangl@durham.ac.uk
Professor
Double zeta values and modular forms
Gangl, H.; Kaneko, M.; Zagier, D.
Authors
M. Kaneko
D. Zagier
Contributors
Juan José; García de Leonardo
Editor
Jesús Tronch Pérez
Editor
Milagros del Saz Rubio
Editor
Carme Manuel Cuenca
Editor
Barry Pennock Speck
Editor
María José. Coperías Aguilar
Editor
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.
Citation
Gangl, H., Kaneko, M., & Zagier, D. (2006). Double zeta values and modular forms. In J. J. García de Leonardo, J. Tronch Pérez, M. del Saz Rubio, C. Manuel Cuenca, B. Pennock Speck, & M. J. Coperías Aguilar (Eds.), Automorphic forms and zeta functions : proceedings of the conference in memory of Tsuneo Arakawa, 4-7 September 2004, Rikkyo University, Japan (71-106)
Presentation Conference Type | Conference Paper (Published) |
---|---|
Conference Name | Automorphic forms and zeta functions |
Publication Date | Jan 1, 2006 |
Deposit Date | Jul 26, 2007 |
Publisher | World Scientific Publishing |
Pages | 71-106 |
Book Title | Automorphic forms and zeta functions : proceedings of the conference in memory of Tsuneo Arakawa, 4-7 September 2004, Rikkyo University, Japan. |
Keywords | Multiple zeta values, Modular forms, Period polynomials, Double Eisenstein series. |
Public URL | https://durham-repository.worktribe.com/output/1679943 |
Publisher URL | http://www.worldscibooks.com/mathematics/6005.html |
Additional Information | Proceedings of the Conference in Memory of Tsuneo Arakawa, Rikkyo University, Japan 4 - 7 September 2004. |
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