Igusa Zeta-function - Congruences Modulo Powers Of

Congruences Modulo Powers Of

Henceforth we take to be the characteristic function of and to be the trivial character. Let denote the number of solutions of the congruence

.

Then the Igusa zeta function

is closely related to the Poincaré series

by

Read more about this topic:  Igusa Zeta-function

Famous quotes containing the words powers of and/or powers:

    “A multitude of causes unknown to former times are now acting with a combined force to blunt the discriminating powers of the mind, and unfitting it for all voluntary exertion to reduce it to a state of almost savage torpor.”
    —William Wordsworth (1770–1850)

    “A multitude of causes unknown to former times are now acting with a combined force to blunt the discriminating powers of the mind, and unfitting it for all voluntary exertion to reduce it to a state of almost savage torpor.”
    —William Wordsworth (1770–1850)