Journal article
A class of non-holomorphic modular forms III: real analytic cusp forms for $\mathrm{SL}_2(\mathbb{Z})$
- Abstract:
-
We define canonical real analytic versions of modular forms of integral weight for the full modular group, generalising real analytic Eisenstein series. They are harmonic Maass waveforms with poles at the cusp, whose Fourier coefficients involve periods and quasi-periods of cusp forms, which are conjecturally transcendental. In particular, we settle the question of finding explicit ‘weak harmonic lifts’ for every eigenform of integral weight k and level one. We show that mock modular forms of...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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Bibliographic Details
- Publisher:
- Springer Verlag Publisher's website
- Journal:
- Research in the Mathematical Sciences Journal website
- Volume:
- 34
- Issue:
- 5
- Publication date:
- 2018-08-13
- Acceptance date:
- 2018-07-20
- DOI:
- EISSN:
-
2197-9847
- ISSN:
-
2522-0144
- Source identifiers:
-
889540
Item Description
- Pubs id:
-
pubs:889540
- UUID:
-
uuid:a6bf96fe-4d4e-45d9-a474-584d10f3c077
- Local pid:
- pubs:889540
- Deposit date:
- 2018-07-20
Terms of use
- Copyright holder:
- Brown
- Copyright date:
- 2018
- Notes:
- © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
- Licence:
- CC Attribution (CC BY)
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