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Transcendental numbers

Published online by Cambridge University Press:  03 November 2016

H. Halberstam
H. Halberstam*
Affiliation:
The University, Nottingham NG7 2RD
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Extract

1. You all remember that in that well-known play, Waiting for Godot, the eponymous hero never actually appears. In the same way my talk should perhaps have been entitled Waiting for transcendental numbers—for while transcendental numbers are at the back of everything that follows, they will not become, for reasons of technical difficulty, proper part of the action.

Type
Research Article
Information
The Mathematical Gazette , Volume 58 , Issue 406 , December 1974 , pp. 276 - 284
Copyright
Copyright © Mathematical Association 1974

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References

page no 276 note † This article was originally given as a lecture at the Annual Conference of the Mathematical Association in April 1974.

page no 283 note † For the general statement and proof of Siegel’s theorem, see Lang, S., Introduction to transcendental numbers, Chapter 2. Addison-Wesley (1966)Google Scholar.

page no 283 note ‡ See Gelfond, and Linnik, , Elementary methods in analytic number theory, McNally, Rand (Chicago, 1965)Google Scholar, Chapter 12; Baker, A., Mathematika 13, 204 (1966)CrossRefGoogle Scholar.