Book contents
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- 2 Elliptic functions
- 3 Modular forms for SL(2; Z)
- 4 Variants of modular forms
- 5 Quantum fields on a torus
- 6 Congruence subgroups and modular curves
- 7 Modular forms for congruence subgroups
- 8 Modular derivatives and vector-valued modular forms
- 9 Modular graph functions and forms
- Part II Extensions and applications
- Part III Appendix
- References
- Index
4 - Variants of modular forms
from Part I - Modular forms and their variants
Published online by Cambridge University Press: aN Invalid Date NaN
- Frontmatter
- Dedication
- Contents
- Organization
- Acknowledgements
- 1 Introduction
- Part I Modular forms and their variants
- 2 Elliptic functions
- 3 Modular forms for SL(2; Z)
- 4 Variants of modular forms
- 5 Quantum fields on a torus
- 6 Congruence subgroups and modular curves
- 7 Modular forms for congruence subgroups
- 8 Modular derivatives and vector-valued modular forms
- 9 Modular graph functions and forms
- Part II Extensions and applications
- Part III Appendix
- References
- Index
Summary
Closely related variants of modular forms, including quasi-modular forms, almost-holomorphic modular forms, Maass forms, non-holomorphic Eisenstein series, mock modular forms, and quantum modular forms, are introduced and their properties are analyzed.
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- Modular Forms and String Theory , pp. 71 - 94Publisher: Cambridge University PressPrint publication year: 2024