Equations over Finite Fields

In this chapter we shall introduce a new point of view. Diophantine problems over finite fields will be put into the context of elementary algebraic geometry. The notions of affine space, projective space, and points at infinity will be defined.

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Bibliographic Details
Published inA Classical Introduction to Modern Number Theory pp. 138 - 150
Main Authors Ireland, Kenneth, Rosen, Michael
Format Book Chapter
LanguageEnglish
Published New York, NY Springer New York 19.10.2012
SeriesGraduate Texts in Mathematics
Subjects
Affine Space
Common Zero
Finite Field
Homogeneous Polynomial
Projective Space
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ISBN9781441930941
1441930949
ISSN0072-5285
2197-5612
DOI10.1007/978-1-4757-2103-4_10

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Summary:In this chapter we shall introduce a new point of view. Diophantine problems over finite fields will be put into the context of elementary algebraic geometry. The notions of affine space, projective space, and points at infinity will be defined.
ISBN:9781441930941
1441930949
ISSN:0072-5285
2197-5612
DOI:10.1007/978-1-4757-2103-4_10