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Cubic theta functions and modular forms ...

Matsuda, Kazuhide...

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Cubic theta functions and modular forms of level six by Matsuda, Kazuhide ( Author )

Content Provider	Lemonjar Open Access
Publisher	N.A
Publication Date	01-01-2015
Summary	The aim of the research presented in this paper is to derive the systems of ordinary differential equations (ODEs) satisfied by modular forms of level six and to construct extensions of the differential field of the cubic theta functions, generalizing the classical Ramanujan and Halphen fields. We treat both modular forms that appear in the literature and others that do not. We find Riccati equations satisfied by level six modular forms, explore applications to number theory, and find new relations among the Eisenstein series.
ISBN	-
Item Type	Article
File Type	pdf
File Size	36.88 KB
Language	English
Subjects	-
Unlimited	MYR 0.00
Total read	-
URL	http://arxiv.org/abs/1508.05838

Citation

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AMA 11th EditionReferences

Matsuda, Kazuhide. Cubic theta functions and modular forms of level six. N.A. January 01, 2015. Accessed August 15, 2025. https://online.provdatabase.com/cite/18905

APA 7th EditionReferences

Matsuda, Kazuhide. (2015). Cubic theta functions and modular forms of level six. N.A. https://online.provdatabase.com/cite/18905

Chicago 17th EditionReferences

Matsuda, Kazuhide. Cubic theta functions and modular forms of level six. N.A. 2015. https://online.provdatabase.com/cite/18905

HarvardReferences

Matsuda, Kazuhide. (2015). Cubic theta functions and modular forms of level six. [Online]. N.A. Available from: https://online.provdatabase.com/cite/18905. (Accessed 15 August 2025).

Harvard AustraliaReferences

Matsuda, Kazuhide, 2015, Cubic theta functions and modular forms of level six, N.A, viewed 15 August 2025, <https://online.provdatabase.com/cite/18905>

MLA 9th EditionWorks Cited

Matsuda, Kazuhide. Cubic theta functions and modular forms of level six. N.A, 2015. PROV Database, https://online.provdatabase.com/cite/18905.

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