Taylor Expansions of Modular Forms at CM Points
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Date
2023-11
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Student Paper
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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 these CM points.
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published
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Examiner : Schwagenscheidt, Markus
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ETH Zurich
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Subject
MODULAR FORMS (NUMBER THEORY)
Organisational unit
02000 - Dep. Mathematik / Dep. of Mathematics