Publicación: A CHARACTERIZATION OF BUCHIS INTEGER SEQUENCES OF LENGTH 3
Fecha
2011
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ACTA ARITHMETICA
Resumen
WE GIVE A NEW CHARACTERIZATION OF GENERALIZED BÜCHI SEQUENCES (SEQUENCES WHOSE SEQUENCE OF SQUARES HAS CONSTANT SECOND DIFFERENCE (A), FOR SOME FIXED INTEGER A) OF LENGTH 3 OVER THE INTEGERS AND A STRATEGY FOR ATTACKING BÜCHIS N SQUARES PROBLEM. KNOWN CHARACTERIZATIONS OF INTEGER BÜCHI SEQUENCES OF LENGTH 3 ARE ACTUALLY CHARACTERIZATIONS OVER THE RATIONALS, PLUS SOME DIVISIBILITY CRITERIONS THAT KEEP INTEGER SEQUENCES.
