Taylor Expansions of Modular Forms at CM Points
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Date
2023-11Type
- Student Paper
ETH Bibliography
yes
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Abstract
We use the method of Zagier-Villegas to demonstrate that the Taylor coefficients of the j-invariant is non-vanishing at the CM points of order 2 and 3. Presents a general sagemath implementation for computing periodic and non-vanishing behaviour of Taylor coefficients of arbitrary modular forms at Show more
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https://doi.org/10.3929/ethz-b-000646162Publication status
publishedContributors
Examiner: Schwagenscheidt, Markus
Publisher
ETH ZurichSubject
MODULAR FORMS (NUMBER THEORY)Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics
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ETH Bibliography
yes
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