In mathematics, a Lambert series, named for Johann Heinrich Lambert, is a series taking the form
It can be resummed formally by expanding the denominator:
where the coefficients of the new series are given by the Dirichlet convolution of an with the constant function 1(n) = 1:
This series may be inverted by means of the Möbius inversion formula, and is an example of a Möbius transform.
Read more about Lambert Series: Examples, Alternate Form, Current Usage
Famous quotes containing the words lambert and/or series:
“Our duty now is to keep alive—to exist. What becomes of a nation if its citizens all die?”
—Dudley Nichols, U.S. screenwriter. Jean Renoir. George Lambert (George Sanders)
“Through a series of gradual power losses, the modern parent is in danger of losing sight of her own child, as well as her own vision and style. It’s a very big price to pay emotionally. Too bad it’s often accompanied by an equally huge price financially.”
—Sonia Taitz (20th century)