Series Relations
Two Dirichlet series involving the divisor function are:
which for d(n) = σ0(n) gives
and
A Lambert series involving the divisor function is:
for arbitrary complex |q| ≤ 1 and a. This summation also appears as the Fourier series of the Eisenstein series and the invariants of the Weierstrass elliptic functions.
Read more about this topic: Divisor Function
Famous quotes containing the words series and/or relations:
“Personality is an unbroken series of successful gestures.”
—F. Scott Fitzgerald (1896–1940)
“The principle that human nature, in its psychological aspects, is nothing more than a product of history and given social relations removes all barriers to coercion and manipulation by the powerful.”
—Noam Chomsky (b. 1928)