Alternate Form
Substituting one obtains another common form for the series, as
where
as before. Examples of Lambert series in this form, with, occur in expressions for the Riemann zeta function for odd integer values; see Zeta constants for details.
Read more about this topic: Lambert Series
Famous quotes containing the words alternate and/or form:
“Germany is a queer country: one cant regard it dispassionately. I alternate between hating it thoroughly, stick, stock and stone, and yearning over it fit to break my heart. I cant help feeling it a young and adorable countryadolescentwith the faults of adolescence.”
—D.H. (David Herbert)
“The Virgin filled so enormous a space in the life and thought of the time that one stands now helpless before the mass of testimony to her direct action and constant presence in every moment and form of the illusion which men thought they thought their existence.”
—Henry Brooks Adams (18381918)