We mainly determine Sigma(p-1)(k=1) (k(2k))h(k)x(k) modulo a prime p with h(k) = Sigma(k)(j=1) 1/2j-1. We 1 also provide some applications of this polynomial congruence for some special values of x which involve the Fibonacci and Lucas numbers.
Tauraso, R. (2023). More Congruences for Central Binomial Sums with Fibonacci and Lucas Numbers. JOURNAL OF INTEGER SEQUENCES, 26, 1-10.
More Congruences for Central Binomial Sums with Fibonacci and Lucas Numbers
Roberto Tauraso
2023-01-01
Abstract
We mainly determine Sigma(p-1)(k=1) (k(2k))h(k)x(k) modulo a prime p with h(k) = Sigma(k)(j=1) 1/2j-1. We 1 also provide some applications of this polynomial congruence for some special values of x which involve the Fibonacci and Lucas numbers.File in questo prodotto:
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