Department of Mathematics
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Browsing Department of Mathematics by Subject "11N25"
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Item Open Access Carmichael meets chebotarev(Cambridge University Press, 2013) Banks, W. D.; Güloğlu, A. M.; Yeager, A. M.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.