Mertens, Michael H. and Rolen, Larry ORCID: 0000-0001-8671-8117
(2015).
On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono.
Res. Number Theory, 1 (1).
CHAM:
SPRINGER INTERNATIONAL PUBLISHING AG.
ISSN 2363-9555
Abstract
Recently, Bruinier and Ono found an algebraic formula for the partition function in terms of traces of singular moduli of a certain non-holomorphic modular function. In this paper we prove that the rational polynomial having these singular moduli as zeros is (essentially) irreducible, settling a question of Bruinier and Ono. The proof uses careful analytic estimates together with some related work of Dewar and Murty, as well as extensive numerical calculations of Sutherland.
Item Type: | Journal Article | ||||||||||||
Creators: |
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URN: | urn:nbn:de:hbz:38-386443 | ||||||||||||
DOI: | 10.1007/s40993-015-0007-5 | ||||||||||||
Journal or Publication Title: | Res. Number Theory | ||||||||||||
Volume: | 1 | ||||||||||||
Number: | 1 | ||||||||||||
Date: | 2015 | ||||||||||||
Publisher: | SPRINGER INTERNATIONAL PUBLISHING AG | ||||||||||||
Place of Publication: | CHAM | ||||||||||||
ISSN: | 2363-9555 | ||||||||||||
Language: | English | ||||||||||||
Faculty: | Unspecified | ||||||||||||
Divisions: | Unspecified | ||||||||||||
Subjects: | no entry | ||||||||||||
Uncontrolled Keywords: |
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URI: | http://kups.ub.uni-koeln.de/id/eprint/38644 |
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