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Nullstellenzahlen von Polynomfunktionen auf Restklassenringen
Author(s) -
Mathiak Karl
Publication year - 1997
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19971870109
Subject(s) - mathematics , polynomial , combinatorics , mod , polynomial ring , function (biology) , discrete mathematics , mathematical analysis , biology , evolutionary biology
Let ℤ/ n ℤ denote the ring of integers mod n . By a polynomial function f over ℤ/ n ℤ will be meant a mapping of ℤ/ n ℤ into itself which is induced by a polynomial f ( x ) ∈ ℤ[ x ]. We ask how many zeros of f are possible. The main result is a formula for the maximal number of zeros of non‐vanishing polynomial functions mod n .