Abel,s Lemma
المؤلف:
Dörrie, H
المصدر:
100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover
الجزء والصفحة:
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17-1-2019
1161
Abel's Lemma
The pure equation
of prime degree
is irreducible over a field when
is a number of the field but not the
th power of an element of the field.
Jeffreys and Jeffreys (1988) use the term "Abel's lemma" for another lemma related to Abel's uniform convergence test.
REFERENCES:
Dörrie, H. 100 Great Problems of Elementary Mathematics: Their History and Solutions. New York: Dover, p. 118, 1965.
Jeffreys, H. and Jeffreys, B. S. "Abel's Lemma." §1.1153 in Methods of Mathematical Physics, 3rd ed. Cambridge, England: Cambridge University Press, pp. 41-42, 1988.
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