Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

preprint2022arXivOpen access

In this paper we discuss applications of our earlier work in studying certain Galois groups and splitting fields of rational functions in $\mathbb Q\left(X_0(N)\right)$ using Hilbert's irreducibility theorem and modular forms. We also consider computational aspect of the problem using MAGMA and SAGE.

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Hilbert's Irreducibility, Modular Forms, and Computation of Certain Galois Groups

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