23.140692632779269005729086367…

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 4 in Making Transcendence Transparent, 2004, pp 77-111 from Springer

Abstract: Abstract In the previous two chapters we exploited the simplicity of the power series for the function e z in order to establish the transcendence results of Hermite-Lindemann and then Lindemann-Weierstrass. In this chapter we describe the next stage in the evolution of classical transcendental number theory, which involves viewing e z as a function of a complex variable z and applying more sophisticated analytic techniques. We illustrate these new themes by establishing the transcendence of e π .

Keywords: Power Series; Entire Function; Rational Number; Algebraic Number; Integer Solution (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4114-8_5

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DOI: 10.1007/978-1-4757-4114-8_5

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