Modular regulators and multiple Eisenstein values

2023/03/27 by Brunault, François, Zudilin, Wadim · 1 citation
#11G16 #11G55 #Algebraic Geometry (math.AG) #FOS: Mathematics #K-Theory and Homology (math.KT) #Number Theory (math.NT) #Primary 19F27 #Secondary 11F67

paper · doi:10.48550/arxiv.2303.15554

Abstract

We compute explicitly the Goncharov regulator integral associated to K₄ classes on modular curves in terms of L-values of modular forms. We use this expression to connect it with the Beilinson regulator integral.

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