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Lavrentiev's approximation theorem with nonvanishing polynomials and universality of zeta-functions
[article]
2010
arXiv
pre-print
We prove a variant of the Lavrentiev's approximation theorem that allows us to approximate a continuous function on a compact set K in C without interior points and with connected complement, with polynomial functions that are nonvanishing on K. We use this result to obtain a version of the Voronin universality theorem for compact sets K, without interior points and with connected complement where it is sufficient that the function is continuous on K and the condition that it is nonvanishing
arXiv:1010.0386v1
fatcat:e3rwnxjmpnekphxsjajhflbdmi