Computing power series expansions of modular forms

John Voight; John Willis

Computing power series expansions of modular forms

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arxiv 1205.0045 v2 pith:3PBKVXVZ submitted 2012-04-30 math.NT

John Voight , John Willis This is my paper · ORCID

classification math.NT

keywords expansionsformsmodularpowerseriesalgebracocompactcomputation

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We exhibit a method to numerically compute power series expansions of modular forms on a cocompact Fuchsian group, using the explicit computation a fundamental domain and linear algebra.

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Squarefree numbers in short intervals: explicit and formalized
math.NT 2026-08 conditional novelty 6.0 of 10

For intervals of length H = X^{1/5 - 2/90935 + ε}, the number of squarefree integers differs from (6/π²)H by at most an explicit constant times H X^{-ε/10^{25}}.

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