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Hartmanis-Stearns Conjecture on Real Time and Transcendence

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Computation, Physics and Beyond (WTCS 2012)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7160))

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Abstract

Hartmanis-Stearns conjecture asserts that any number whose decimal expansion can be computed by a multitape Turing machine is either rational or transcendental. After half a century of active research by computer scientists and mathematicians the problem is still open but much more interesting than in 1965.

The research was supported by Agreement with the European Regional Development Fund (ERDF) 2010/0206/2DP/2.1.1.2.0/10/APIA/VIAA/011.

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Authors and Affiliations

  1. Institute of Mathematics and Computer Science, University of Latvia, Raiņa bulvāris 29, Riga, LV-1459, Latvia

    Rūsiņš Freivalds

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  1. Rūsiņš Freivalds
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  1. Department of Computer Science, University of Auckland, Private Bag 92019, 1142, Auckland, New Zealand

    Michael J. Dinneen , Bakhadyr Khoussainov  & André Nies ,  & 

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Freivalds, R. (2012). Hartmanis-Stearns Conjecture on Real Time and Transcendence. In: Dinneen, M.J., Khoussainov, B., Nies, A. (eds) Computation, Physics and Beyond. WTCS 2012. Lecture Notes in Computer Science, vol 7160. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-27654-5_9

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  • DOI: https://doi.org/10.1007/978-3-642-27654-5_9

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