• Title of article

    FUNDAMENTAL CYCLE OF A PERIODIC BOX-BALL SYSTEM: A NUMBER THEORETICAL ASPECT

  • Author/Authors

    TETSUJI TOKIHIRO، نويسنده , , JUN MADA، نويسنده ,

  • Issue Information
    روزنامه با شماره پیاپی سال 2005
  • Pages
    -198
  • From page
    199
  • To page
    0
  • Abstract
    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.
  • Keywords
    Hardy space , inner function , shift operator , model , Hilbert transform , admissible majorant , subspace
  • Journal title
    GLASGOW MATHEMATICAL JOURNAL
  • Serial Year
    2005
  • Journal title
    GLASGOW MATHEMATICAL JOURNAL
  • Record number

    99305