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Pfaffian control of some polynomials involving the $j$--function and Weierstrass elliptic functions

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arxiv 2011.09382 v1 pith:JRH2IZHL submitted 2020-11-18 math.NT

classification math.NT
keywords functionsellipticfunctionpolynomialsweierstrasszerosassociatedbehaviour
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abstract

We give new bounds on the zeros of polynomials in $z$ and the $j$--function, and $z$ and Weierstrass elliptic functions with rectangular associated lattice, controlling the zeros of these functions by their tame behaviour on the boundaries of their respective fundamental domains.

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