In this note, we study the Li coefficients λ n,a for the quadrilateral zeta function. Furthermore, we give an arithmetic and asymptotic formula for these coefficients. Especially, we show that for any fixed n ∈ N , there exists $a>0$ such that λ 2n-1,a> 0 and λ 2n,a < 0 .
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Bllaca et al. (2024) studied this question.