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.
Financiamiento: Proyecto CF-HEALTHSUD (código 21-CLIMAT-03; Climat Amsud). Agradecimientos: Se agradece a Fondecyt (Perú) por el soporte brindado. Declaramos que ninguno de los autores de este trabajo presenta conflictos de interés.
Financiamiento: Proyecto CF-HEALTHSUD (código 21-CLIMAT-03; Climat Amsud). Agradecimientos: Se agradece a Fondecyt (Perú) por el soporte brindado. Declaramos que ninguno de los autores de este trabajo presenta conflictos de interés.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.