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Li coefficients and the quadrilateral zeta function
Published online by Cambridge University Press: 08 April 2024
Abstract
In this note, we study the Li coefficients $\lambda _{n,a}$ for the quadrilateral zeta function. Furthermore, we give an arithmetic and asymptotic formula for these coefficients. Especially, we show that for any fixed
$n \in {\mathbb {N}}$, there exists
$a>0$ such that
$\lambda _{2n-1,a}> 0$ and
$\lambda _{2n,a} < 0$.
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- © The Author(s), 2024. Published by Cambridge University Press on behalf of Canadian Mathematical Society
Footnotes
The third author was partially supported by JSPS grant 22K03276.
References
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