Pure and Applied Mathematics Quarterly
Volume 10 (2014)
Special Issue: In Memory of Andrey Todorov, Part 3 of 3
Non-commutative generalized Dedekind symbols
Pages: 245 – 258
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].
Dedekind symbols, iterated integrals