Eisenstein Series - Relation To Modular Invariants

Relation To Modular Invariants

The modular invariants and of an elliptic curve are given by the first two terms of the Eisenstein series as

and

The article on modular invariants provides expressions for these two functions in terms of theta functions.

Read more about this topic:  Eisenstein Series

Famous quotes containing the words relation to and/or relation:

    “It would be disingenuous, however, not to point out that some things are considered as morally certain, that is, as having sufficient certainty for application to ordinary life, even though they may be uncertain in relation to the absolute power of God.”
    —René Descartes (1596–1650)

    “... a worker was seldom so much annoyed by what he got as by what he got in relation to his fellow workers.”
    —Mary Barnett Gilson (1877–?)