This article is cited in 2 papers

Trace representation of linear recurring sequences

V. L. Kurakin


Abstract: The possibility of a trace representation of linear recurring sequences over commutative linear rings and modules over such rings is studied. The trace function itself is expressed in terms of automorphisms and in terms of $p$-adic expansions.

UDC: 512.55+519.7

MSC: Primary 13B02, 13B05; Secondary 94A55

Received: 02.10.2001

DOI: 10.4213/sm663

 English version: Sbornik: Mathematics, 2002, 193:6, 907–924

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