diff --git a/data/Series_expansions/Keiper-Li_coefficients/collection.yaml b/data/Series_expansions/Keiper-Li_coefficients/collection.yaml index 5dd81cb..8543010 100644 --- a/data/Series_expansions/Keiper-Li_coefficients/collection.yaml +++ b/data/Series_expansions/Keiper-Li_coefficients/collection.yaml @@ -56,8 +56,12 @@ Formulas: 2 + \frac{3}{4}\pi^2 - 6\log 2 - 3\log\pi - 12\gamma_1 + \gamma(3 + 2(\gamma - 3)\gamma + 6\gamma_1) + 3\gamma_2 - \frac{7}{4}\zeta(3) \big)$. + + formula-lambda-n-plus-1: > + $\lambda_{n+1} = \lambda_n + + \frac{1}{n!} \frac{d^n}{ds^n} \big( s^n \frac{\xi'(s)}{\xi(s)} \big) \big|_{s=1}$ + for $n\geq 0$. - Programs: References: