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Department of Mathematics
Scholarly Publications - Mathematics
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Scholarly Publications - Mathematics
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Browsing Scholarly Publications - Mathematics by Subject "11N25"
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Open Access
Carmichael meets chebotarev
(
Cambridge University Press
,
2013
)
Banks, W. D.
;
Güloğlu, A. M.
;
Yeager, A. M.
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For any finite Galois extension K of ℚ and any conjugacy class C in Gal(K=ℚ), we show that there exist infinitely many Carmichael numbers composed solely of primes for which the associated class of Frobenius automorphisms is C. This result implies that for every natural number n there are infinitely many Carmichael numbers of the form a2 + nb 2 with a; b ε Z. © Canadian Mathematical Society 2012.
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