Congruences for the q-secant Numbers
نویسندگان
چکیده
منابع مشابه
Congruences for q-Lucas Numbers
For α, β, γ, δ ∈ Z and ν = (α, β, γ, δ), the q-Fibonacci numbers are given by F ν 0 (q) = 0, F ν 1 (q) = 1 and F ν n+1(q) = q αn−βF ν n (q) + q γn−δF ν n−1(q) for n > 1. And define the q-Lucas number Ln(q) = F ν n+1(q)+ q γ−δF ν∗ n−1(q), where ν∗ = (α, β− α, γ, δ − γ). Suppose that α = 0 and γ is prime to n, or α = γ is prime to n. We prove that Ln(q) ≡ (−1) (mod Φn(q)) for n > 3, where Φn(q) i...
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ژورنال
عنوان ژورنال: European Journal of Combinatorics
سال: 1980
ISSN: 0195-6698
DOI: 10.1016/s0195-6698(80)80027-8