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T-numbers form an M0 set

Part of: Diophantine approximation, transcendental number theory

Published online by Cambridge University Press:  26 February 2010

W. Moran ,
C. E. M. Pearce  and
A. D. Pollington
W. Moran
Affiliation:
School of Information Science and Technology, Flinders University of South Australia, GPO Box 2100, Adelaide SA 5001, Australia.
C. E. M. Pearce
Affiliation:
Department of Applied Mathematics, The University of Adelaide, GPO Box 298, Adelaide SA 5001, Australia.
A. D. Pollington
Affiliation:
Department of Mathematics, Brigham Young University, Provo, Utah 84602, USA.
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Extract

Abstract. We show that the set of T-numbers in Mahler's classification of transcendental numbers supports a measure whose Fourier transform vanishes at infinity. A similar argument shows that U-numbers also support such a measure.

MSC classification

Secondary: 11J81: Transcendence (general theory)
Type
Research Article
Information
Mathematika , Volume 39 , Issue 1 , June 1992 , pp. 18 - 24
Copyright
Copyright © University College London 1992

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