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Preprint Number 1630

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1630. Sebastian Eterović and Sebastián Herrero
Solution of Equations Involving the Modular j Function

Submission date: 23 July 2019


Inspired by work done for systems of polynomial exponential equations, we study systems of equations involving the modular $j$ function. We show general cases in which these systems have solutions, and then we look at certain situations in which the modular Schanuel's conjecture implies that these systems have generic solutions. An unconditional result in this direction is proven for certain polynomial equations on $j$ with algebraic coefficients.

Mathematics Subject Classification:

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Full text arXiv 1907.09858: pdf, ps.

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