Universität zu Köln

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

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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:	Creators Email ORCID ORCID Put Code Mertens, Michael H. UNSPECIFIED UNSPECIFIED UNSPECIFIED Rolen, Larry UNSPECIFIED orcid.org/0000-0001-8671-8117 UNSPECIFIED
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:	Keywords Language Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/38644