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LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS (2008)
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by
Zhi-wei Sun
,
Daqing Wan
| Venue: | INT. J. NUMBER THEORY 4(2008), NO. 2, 155–170. |
| Citations: | 3 - 2 self |
BibTeX
@MISC{Sun08lucas-typecongruences,
author = {Zhi-wei Sun and Daqing Wan},
title = {LUCAS-TYPE CONGRUENCES FOR CYCLOTOMIC ψ-COEFFICIENTS},
year = {2008}
}
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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 k
