2.718281828459… + 0.11000100000…
Polynomials with integer coefficients play a central role in the theory of transcendence. In fact, they made their first appearance at the very opening of our story—A number is transcendental precisely when it is not a zero of any nonzero polynomial in ℤ[z]. In this chapter, given an arbitrary complex number ξ, we forgo the fascination of determining whether there exists a nonzero polynomial that vanishes at ξ.
KeywordsMeasure Zero Algebraic Number Infinite Sequence Minimal Polynomial Irreducible Polynomial
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