“Fermat's Theorem”的概念、定义、习题解题方法及翻译-数学辞典

单词

Fermat's Theorem

释义

Fermat's Theorem

A Prime can be represented in an essentially unique manner in the form for integral and Iff or . It can be restated by letting

then all Relatively Prime solutions

to the problem of representing

for

any Integer areachieved by means of successive applications of the Genus Theorem and Composition Theorem. There isan analog of this theorem for Eisenstein Integers.

See also Eisenstein Integer, Square Number

References

Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, pp. 142-143, 1993.

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