In mathematical analysis and analytic number theory, Lambert summation is a summability method for summing infinite series related to Lambert series specially relevant in analytic number theory. == Definition == Define the Lambert kernel by L ( x ) = log ( 1 / x ) x 1 − x {\displaystyle L(x)=\log(1/x){\frac {x}{1-x}}} with L ( 1 ) = 1 {\displaystyle L(1)=1} .
In mathematical analysis and analytic number theory, Lambert summation is a summability method for summing infinite series related to Lambert series specially relevant in analytic number theory. == Definition == Define the Lambert kernel by L ( x ) = log ( 1 / x ) x 1 − x {\displaystyle L(x)=\log(1/x){\frac {x}{1-x}}} with L ( 1 ) = 1 {\displaystyle L(1)=1} .
Source: Wikipedia "Lambert summation" · CC BY-SA 4.0
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