Journal article
A class of nonholomorphic modular forms II: equivariant iterated Eisenstein integrals
- Abstract:
- We introduce a new family of real-analytic modular forms on the upper-half plane. They are arguably the simplest class of ‘mixed’ versions of modular forms of level one and are constructed out of real and imaginary parts of iterated integrals of holomorphic Eisenstein series. They form an algebra of functions satisfying many properties analogous to classical holomorphic modular forms. In particular, they admit expansions in q, q and log |q| involving only rational numbers and single-valued multiple zeta values. The first nontrivial functions in this class are real-analytic Eisenstein series.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, 663.7KB, Terms of use)
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- Publisher copy:
- 10.1017/fms.2020.24
Authors
- Publisher:
- Cambridge University Press
- Journal:
- Forum of Mathematics, Sigma More from this journal
- Volume:
- 8
- Article number:
- e31
- Publication date:
- 2020-05-28
- Acceptance date:
- 2020-04-14
- DOI:
- EISSN:
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2050-5094
- ISSN:
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2050-5094
- Language:
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English
- Keywords:
- Pubs id:
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1100227
- Local pid:
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pubs:1100227
- Deposit date:
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2020-04-15
Terms of use
- Copyright holder:
- Francis Brown
- Copyright date:
- 2020
- Rights statement:
- Copyright © The Author 2020. This is an Open Access article, distributed under the terms of the Creative Commons Attribution licence (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted re-use, distribution, and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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