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학술저널

STUDY ON THE ARITHMETIC OF MODULAR FORMS

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By constructing a canonical basis for the space M # k (Γ 0 (N )) explicitly, we find a basis of the space of cusp forms for Γ 0 (N ) consisting of Poincar´e series.

1. Introduction and statement of results

2. A basis for the space M # k (Γ 0 (N ))

3. Proof of Theorem 1.1

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