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Generalized Dedekind symbols for modular forms of real weights

Posted in
Yuri Manin
Tue, 01/03/2016 - 14:00 - 14:50

Fukuhara defined generalized Dedekind symbols as functions
on P^1(Q) with values in an abelian group satisfying a short list of
In a previous paper,  I have generalized this definition to the case
of possibly non-commutative groups and
constructed non--commutative generalized Dedekind symbols
for classical  PSL(2,Z ) cusp forms, using iterated period polynomials.
Here I generalize this construction to forms of real weights using their
iterated period functions introduced and studied in a recent  article 
by R.~Bruggeman and Y.~Choie.

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