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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 mu...

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Publication status:
Published
Peer review status:
Peer reviewed

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Division:
MPLS
Department:
Mathematical Institute
Sub department:
Mathematical Institute
Role:
Author
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:
2050-5094
ISSN:
2050-5094
Language:
English
Keywords:
Pubs id:
1100227
Local pid:
pubs:1100227
Deposit date:
2020-04-15

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