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Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials

Explicit formulas for Hecke operators on cusp forms, Dedekind symbols and period polynomials

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 …