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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)

Conference Name Automorphic forms and zeta functions
Conference Location Tokyo, Japan
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.