Iterated Integrals and higher order automorphic forms

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Higher order automorphic forms have recently been introduced to study important questions in number theory and mathematical physics. We investigate the connection between these functions and Chen's iterated integrals. Then using Chen's theory, we prove a structure theorem for automorphic forms of all orders. This allows us to define an analogue of a mixed Hodge structure on a space of higher order automorphic forms.
12 pages

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Number Theory, 11F11, 14C30

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http://salesiana.dossiersoluciones.com/handle/123456789/157048

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0803.2522
 http://arxiv.org/abs/0803.2522
 Commentarii Mathematici Helvetici, 86, (2006)

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arXiv