Euler,s Totient Theorem
المؤلف:
Shanks, D
المصدر:
Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea
الجزء والصفحة:
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8-1-2020
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Euler's Totient Theorem
A generalization of Fermat's little theorem. Euler published a proof of the following more general theorem in 1736. Let
denote the totient function. Then
for all
relatively prime to
.
REFERENCES:
Séroul, R. "The Theorems of Fermat and Euler." §2.8 in Programming for Mathematicians. Berlin: Springer-Verlag, p. 15, 2000.
Shanks, D. Solved and Unsolved Problems in Number Theory, 4th ed. New York: Chelsea, p. 21 and 23-25, 1993.
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