Iterated integrals of modular forms and noncommutative modular symbols

2005/02/28 by Yu. I. Manin, Manin, Yu. I. · 2 citations
Mathematics · #14J32 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.NT #msc:14J32

paper · pdf · doi:10.48550/arxiv.math/0502576

37 pages

arxiv created 2005/02/28 · arxiv updated 2009/12/01

Abstract

The main goal of this paper is to study properties of the iterated integrals of modular forms in the upper halfplane, eventually multiplied by z^s-1, along geodesics connecting two cusps. This setting generalizes simultaneously the theory of modular symbols and that of multiple zeta values

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