Fermat Quotients over Function Fields |
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Authors: | Jim Sauerberg Linghsueh Shu |
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Institution: | aUnion College;bUniversity of Vermont |
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Abstract: | IfPis an irreducible element of a polynomial ring over a finite field, then one can define a Fermat quotient function associated toP. This is the direct analog of the traditional Fermat quotient function defined over the rational numbers using Fermat's “little” theorem. This paper provides answers for several of the central questions about the Fermat quotients over function fields. |
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