Geodesic
A Number Theoretical Observation about the Degeneracy of the Genetic Code
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 151-153.

Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss the similarity of the degeneration structure of the genetic code with a purely number theoretic “divisors code.” The most interesting thing about our observation is not that there is a connection between number theory and the genetic code, but the simplicity of the rule. We hope that the observation and the naive model presented in this paper will spur ideas for other models of the degeneracy of the genetic code. Maybe, the ideas of this article can also be used in the area of artificial life to synthesize artificial genetic codes. 
@article{TM_2009_265_a11,
     author = {A. Yu. Khrennikov and M. Nilsson},
     title = {A {Number} {Theoretical} {Observation} about the {Degeneracy} of the {Genetic} {Code}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {151--153},
     publisher = {mathdoc},
     volume = {265},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/TM_2009_265_a11/}
}
TY  - JOUR
AU  - A. Yu. Khrennikov
AU  - M. Nilsson
TI  - A Number Theoretical Observation about the Degeneracy of the Genetic Code
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2009
SP  - 151
EP  - 153
VL  - 265
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2009_265_a11/
LA  - en
ID  - TM_2009_265_a11
ER  - 
%0 Journal Article
%A A. Yu. Khrennikov
%A M. Nilsson
%T A Number Theoretical Observation about the Degeneracy of the Genetic Code
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2009
%P 151-153
%V 265
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2009_265_a11/
%G en
%F TM_2009_265_a11
A. Yu. Khrennikov; M. Nilsson. A Number Theoretical Observation about the Degeneracy of the Genetic Code. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Selected topics of mathematical physics and $p$-adic analysis, Tome 265 (2009), pp. 151-153. http://geodesic.mathdoc.fr/item/TM_2009_265_a11/

[1] Pitkänen M., Could genetic code be understood number theoretically?, E-print , 2008 http://www.scienceoflife.nl/MPitkanen-genenumber.pdf

[2] Khrennikov A. Yu., “Ultrametric thinking and Freud's theory of the unconscious mind”, New research on consciousness, ed. J. T. Locks, Nova Sci. Publ., Hauppauge, NY, 2006, 119–187 | MR

[3] Khrennikov A. Yu., “$p$-Adic information space and gene expression”, Integrative approaches to brain complexity, eds. S. Grant, N. Heintz, J. Noebels, Wellcome Trust, Cambridge, 2006, 14

[4] Dragovich B., Dragovich A., A $p$-adic model of DNA sequence and genetic code, E-print , 2006 arXiv: q-bio/0607018

[5] Khrennikov A. Yu., Gene expression from polynomial dynamics in the 4-adic information space, MSI Rep. No 06160, Växjö Univ., 2006

[6] Khrennikov A. Yu., Kozyrev S. V., “Genetic code on the diadic plane”, Physica A: Stat. Mech. and Appl., 381 (2007), 265–272 | DOI

[7] Genetic code, Wikipedia, the free encyclopedia , 1 May 2009, 01:48 http://en.wikipedia.org/w/index.php?title=Genetic_code&oldid=287167098

[8] Nilsson M., Khrennikov A. Yu., A number theoretical observation about the degeneracy of the genetic code, MSI Rep. No 06166, Växjö Univ., 2006