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LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS

By Zhi-wei Sun and Daqing Wan

Abstract

Let p be any prime and a be a positive integer. For l, n ∈ {0, 1,...} and r ∈ Z, the normalized cyclotomic ψ-coefficient n: = p− r l,pa ⌊ n−p a−1 −lp a p a−1 (p−1) k≡r (mod p a) (−1) k ( n) ( k−r p

Topics: x
Year: 2008
OAI identifier: oai:CiteSeerX.psu:10.1.1.189.3778
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