Abstract
I tell a story about Martin Davis’s involvement with Hilbert’s tenth problem, including his attitude, motivations, and what were his main contributions. With respect to Yuri Matiyasevich , I emphasize the fundamental aspects of his work in number theory that produced the needed proof. In addition I provide a glimpse of the social, educational, and cultural environment that created the quality of person and mathematician he is.
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Notes
- 1.
The letters RDP (DPR) stand for Julia Robinson , Martin Davis, and Hilary Putnam .
- 2.
That is, the broadcast frequency is first converted to an intermediate frequency before being amplified and detected.
- 3.
Some of this information comes from [15].
References
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Morales Guerrero, L.E. (2016). A Story of Hilbert’s Tenth Problem. In: Omodeo, E., Policriti, A. (eds) Martin Davis on Computability, Computational Logic, and Mathematical Foundations. Outstanding Contributions to Logic, vol 10. Springer, Cham. https://doi.org/10.1007/978-3-319-41842-1_4
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