An explicit representation of primitive forms

Mathematics – Number Theory

Scientific paper

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Scientific paper

The sets of primitive foms may be decomposed into some Galois conjugacy
classes. The purpose of this paper is to write down all of such classes with
cardinal 1 or 2, explicitly in terms of some Eisenstein series, for level
1,2,3,4,6,8,9. For level 6, some calculations have not yet been completed.

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