Fungrim entry: 432bee

Symbol: KeiperLiLambda —

\lambda_{n}

— Keiper-Li coefficient

KeiperLiLambda(n), rendered as

\lambda_{n}

, denotes a power series coefficient associated with the Riemann zeta function.

The definition fcab61 follows Keiper (1992). Li (1997) defines the coefficients with a different scaling factor, equivalent to

n \lambda_{n}

in Keiper's (and Fungrim's) notation.

References:

https://doi.org/10.2307/2153215
https://doi.org/10.1006/jnth.1997.2137
https://doi.org/10.7169/facm/1317045228

Definitions:

Fungrim symbol	Notation	Short description
`KeiperLiLambda`	$\lambda_{n}$	Keiper-Li coefficient

Source code for this entry:

Entry(ID("432bee"),
    SymbolDefinition(KeiperLiLambda, KeiperLiLambda(n), "Keiper-Li coefficient"),
    Description(SourceForm(KeiperLiLambda(n)), ", rendered as", KeiperLiLambda(n), ", denotes a power series coefficient associated with the Riemann zeta function. "),
    Description("The definition", EntryReference("fcab61"), "follows Keiper (1992). Li (1997) defines the coefficients with a different scaling factor, equivalent to", Mul(n, KeiperLiLambda(n)), "in Keiper's (and Fungrim's) notation."),
    References("https://doi.org/10.2307/2153215", "https://doi.org/10.1006/jnth.1997.2137", "https://doi.org/10.7169/facm/1317045228"))

Topics using this entry

Keiper-Li coefficients