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Double Zeta Values and Modular Forms

2006, Automorphic Forms and Zeta Functions - Proceedings of the Conference in Memory of Tsuneo Arakawa

Abstract
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This paper explores the properties of double zeta values and their deep connections to modular forms. Key findings include new relations among double zeta values, their representation as formal symbols, and the establishment of a Q-vector space structure related to modular forms of weight k. Additionally, the introduction of double Eisenstein series provides fresh insights into these relations, highlighting their role in algebraic representations of double zeta values.