The Hecke operators on \(S_ k(\Gamma_ 1(N))\) (Q1346474)
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scientific article; zbMATH DE number 740423
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The Hecke operators on \(S_ k(\Gamma_ 1(N))\) |
scientific article; zbMATH DE number 740423 |
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The Hecke operators on \(S_ k(\Gamma_ 1(N))\) (English)
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4 April 1995
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The Eichler-Shimura theorem in the cohomology of the modular group is used to develop an algorithm which computes a basis for the space \(S_k (\Gamma_1 (N))\) of cusp forms of integral weight \(k \geq 2\) for the congruence subgroup \(\Gamma_1 (N)\). Also, an algorithm is given for computing newforms. The paper contains tables of Fourier coefficients for newforms of weights 2 and 3 for some small levels \(N\).
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Hecke operators
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space of cusp forms of integral weight
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Eichler-Shimura theorem
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algorithm
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basis
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congruence subgroup
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newforms
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tables of Fourier coefficients
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