Solutions of equations involving the modular j function

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2 Citas (Scopus)

Resumen

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 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.

Idioma originalInglés
Páginas (desde-hasta)3971-3998
Número de páginas28
PublicaciónTransactions of the American Mathematical Society
Volumen374
N.º6
DOI
EstadoPublicada - 2021
Publicado de forma externa

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