2.718281828459… + 0.11000100000…

Edward B. Burger and Robert Tubbs
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Edward B. Burger: Williams College, Department of Mathematics
Robert Tubbs: University of Colorado at Boulder, Department of Mathematics

Chapter Number 6 in Making Transcendence Transparent, 2004, pp 147-182 from Springer

Abstract: Abstract 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.

Keywords: Measure Zero; Algebraic Number; Infinite Sequence; Minimal Polynomial; Irreducible Polynomial (search for similar items in EconPapers)
Date: 2004
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DOI: 10.1007/978-1-4757-4114-8_7

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