 Dimension of level-one cusp forms

ID: dimension-of-level-one-cusp-forms

For even

k \geq 12

dim S_{k} (Γ (1)) = {⌊ k /12 ⌋ - 1, ⌊ k /12 ⌋, k \equiv 2 (mod 12), k \neq \equiv 2 (mod 12) .

The dimension is zero for odd

k

and for

k < 12

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