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On class invariants for non-holomorphic ...

Mertens, Michael H....

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On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono by Mertens, Michael H. ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	15-01-2015
Summary	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 singuar 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.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.01
Total read	-
URL	https://arxiv.org/abs/1501.03743

Citation

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AMA 11th EditionReferences

Mertens, Michael H.. On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. N.A. January 15, 2015. Accessed October 03, 2025. https://online.provdatabase.com/cite/18280

APA 7th EditionReferences

Mertens, Michael H.. (2015). On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. N.A. https://online.provdatabase.com/cite/18280

Chicago 17th EditionReferences

Mertens, Michael H.. On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. N.A. 2015. https://online.provdatabase.com/cite/18280

HarvardReferences

Mertens, Michael H.. (2015). On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18280. (Accessed 03 October 2025).

Harvard AustraliaReferences

Mertens, Michael H., 2015, On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono, N.A, viewed 03 October 2025, <https://online.provdatabase.com/cite/18280>

MLA 9th EditionWorks Cited

Mertens, Michael H.. On class invariants for non-holomorphic modular functions and a question of Bruinier and Ono. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18280.

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