Harmonic weak Maass forms and periods II
2024
Harmonic weak Maass forms and periods II
publication
Evidence: high
Author Information
Author(s): Claudia Alfes, Jan Hendrik Bruinier, Markus Schwagenscheidt
Hypothesis
The study investigates the algebraicity of Fourier coefficients of harmonic Maass forms of negative half-integral weight.
Conclusion
The results extend previous findings on the algebraicity of coefficients of harmonic Maass forms and provide explicit formulas for these coefficients.
Supporting Evidence
- The study builds on previous work that established connections between harmonic Maass forms and modular forms.
- Explicit formulas for coefficients are derived, enhancing understanding of their algebraic nature.
- The findings have implications for the study of L-functions and their derivatives.
Takeaway
This study looks at special math functions and how their parts can be expressed in simpler terms, helping us understand their properties better.
Methodology
The paper uses algebraic techniques to relate Fourier coefficients of harmonic Maass forms to periods of meromorphic modular forms.
Digital Object Identifier (DOI)
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