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Iterated Integrals of Modular Forms and Noncommutative Modular Symbols
| Content Provider | Semantic Scholar |
|---|---|
| Author | Manin, Yuri I. |
| Copyright Year | 2005 |
| 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. §0. Introduction and summary This paper was inspired by two sources: theory of multiple zeta values on the one hand (see [Za2]), and theory of modular symbols and periods of cusp forms, on the other ([Ma1], [Ma2], [Sh1]–[Sh3], [Me]). Roughly speaking, it extends the theory of periods of modular forms replacing integration along geodesics in the upper complex half–plane by iterated integration. Here are some details. 0.1. Multiple zeta values. They are the numbers given by the k–multiple Dirichlet series ζ(m 1 ,. .. , m k) = 0 |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://arxiv.org/pdf/math/0502576v1.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Inspiration function Iterated function Iteration Speaking (activity) Synchrovax SEM plasmid DNA vaccine magnussoft ZETA |
| Content Type | Text |
| Resource Type | Article |
