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Double zeta values and modular forms.

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
Record Created:26 Jul 2007
Last Modified:08 Nov 2010 12:15

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