Modular forms of real weights and generalised Dedekind symbols

Modular forms of real weights and generalised Dedekind symbols In a previous paper, I have defined non-commutative generalised Dedekind symbols for classical $$PSL(2,\mathbf {Z})$$ P S L ( 2 , Z ) -cusp forms using iterated period polynomials. Here I generalise 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Research in the Mathematical Sciences Springer Journals

Modular forms of real weights and generalised Dedekind symbols

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Publisher
Springer International Publishing
Copyright
Copyright © 2018 by The Author(s)
Subject
Mathematics; Mathematics, general; Applications of Mathematics; Computational Mathematics and Numerical Analysis
eISSN
2197-9847
D.O.I.
10.1007/s40687-018-0120-x
Publisher site
See Article on Publisher Site

Abstract

In a previous paper, I have defined non-commutative generalised Dedekind symbols for classical $$PSL(2,\mathbf {Z})$$ P S L ( 2 , Z ) -cusp forms using iterated period polynomials. Here I generalise 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.

Journal

Research in the Mathematical SciencesSpringer Journals

Published: Jan 22, 2018

References

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