Geodesic
FUNDAMENTAL CYCLE OF A PERIODIC BOX-BALL SYSTEM: A NUMBER THEORETICAL ASPECT
Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 199-204

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DOI

A number theoretical aspect of the fundamental cycle of a periodic box-ball system is investigated. Using the formulae for the fundamental cycle of a class of initial states, we point out that the asymptotic behaviour of the fundamental cycle is closely related to the celebrated Riemann hypothesis.
DOI : 10.1017/S0017089505002405
Mots-clés : 37B15 
TOKIHIRO, TETSUJI; MADA, JUN. FUNDAMENTAL CYCLE OF A PERIODIC BOX-BALL SYSTEM: A NUMBER THEORETICAL ASPECT. Glasgow mathematical journal, Tome 47 (2005) no. A, pp. 199-204. doi: 10.1017/S0017089505002405
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     author = {TOKIHIRO, TETSUJI and MADA, JUN},
     title = {FUNDAMENTAL {CYCLE} {OF} {A} {PERIODIC} {BOX-BALL} {SYSTEM:} {A} {NUMBER} {THEORETICAL} {ASPECT}},
     journal = {Glasgow mathematical journal},
     pages = {199--204},
     year = {2005},
     volume = {47},
     number = {A},
     doi = {10.1017/S0017089505002405},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089505002405/}
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