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10 votes
2 answers
404 views

Impact of the squarefreeness of the level for modular forms

I often notice papers and results that assume that the level is squarefree in the setting of modular forms, but have a hard time figuring how where this impacts or simplifies the argument. Is there in ...
Lyer Lier's user avatar
  • 249
1 vote
0 answers
134 views

Automorphic representation of weight 3 eigenforms

Let $f$ be a weight 3 eigenform with rational Fourier coefficients. As shown by Elkies and Schutt, $f$ is associated to a singular K3 surface over $\mathbb{Q}$. A construction of Shioda and Inose ...
Goro's user avatar
  • 167
11 votes
0 answers
239 views

Representation of the space of lattices in $\Bbb R^n$

The space of 2D lattices in $\Bbb R^2$ can be represented with the two Eisenstein series $G_4$ and $G_6$. Each lattice uniquely maps to a point in $\Bbb C^2$ using these two invariants, and the points ...
Mike Battaglia's user avatar