Non-commutative generalized Dedekind symbols
Number Theory
2013-01-03 v1
Abstract
We define and study generalized Dedekind symbols with values in non--necessarily commutative groups, generalizing constructions of Sh. Fukuhara in [Fu1], [Fu2]. Basic examples of such symbols are obtained by replacing period integrals of modular forms (cf. [Ma1], [Ma2], [Kn1], [Kn2], [ChZ]) by iterated period integrals introduced and studied in [Ma3], [Ma4].
Cite
@article{arxiv.1301.0078,
title = {Non-commutative generalized Dedekind symbols},
author = {Yuri I. Manin},
journal= {arXiv preprint arXiv:1301.0078},
year = {2013}
}
Comments
13 pages