Abstract
Let be the vector space of cusp forms of weight w + 2 on the full modular group, and let denote its dual space. Periods of cusp forms can be regarded as elements of . The Eichler-Shimura isomorphism theorem asserts that odd (or even) periods span . However, periods are not linearly independent; in fact, they satisfy the Eichler-Shimura relations. This leads to a natural question: which periods would form a basis of .
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More From: Journal für die reine und angewandte Mathematik (Crelles Journal)
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