Generators of the group of modular units for Gamma1(N) over QQ

arXiv: Number Theory, 2015.

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摘要

We give two explicit sets of generators of the group of functions over QQ on the modular curve X1(N) supported on the cusps. first set of generators is essentially the set of defining equations of X1(n) for n u003c= N/2. It satisfies the same recurrence relation as the elliptic division polynomials, so this set of algebraic functions can...更多

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