On the coefficients of the cyclotomic polynomial
نویسندگان
چکیده
منابع مشابه
On the Coefficients of the Cyclotomic Polynomial
For n<105 all coefficients of Fn(x) are ±1 or 0. For n = 10S, the coefficient 2 occurs for the first time. Denote by A w the greatest coefficient of Fn(x) (in absolute value). Schur proved that lim sup -4n= °°. Emma Lehmer proved that An>cn l,z for infinitely many n. In fact she proved that infinitely many such w's are of the form pqr with p, q, and r prime. In the present note we are going to ...
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On the Cyclotomic Polynomial
For a given positive integer m and an algebraic number field K necessary and sufficient conditions for the mth cyclotomic polynomial to have K-integral solutions modulo a given integer of K are given. Among applications thereof are: that the solvability of the cyclotomic polynomial mod an integer yields information about the class number of related number fields; and about representation of int...
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ژورنال
عنوان ژورنال: Bulletin of the American Mathematical Society
سال: 1946
ISSN: 0002-9904
DOI: 10.1090/s0002-9904-1946-08538-9